Primary sources are the most important part of any historical study, for they are one of the ways that information from the past is transferred to us. In my own videos I increasingly try to make greater use of them, and to aid in the efforts and interests of others, below I will link the english (and two french) translations I have found freely accessible online. Obviously, working with primary sources in the original language is best, but very difficult for the Mongol period considering the Feel free to add any which I have not included (if anyone has found an online copy of D.S. Richard's part 3 translation of Ibn al-Athir, that would be much obliged! Likewise, for the full text of Rashid al-Din)
If any links don't work, please let me know and I'l see if I can do anything about them. I tried to keep them roughly categorized, but the Bretscheinder/Henri Yule/Hakluyt Society works at the end didn't quite fit neatly into that. If you have a question about a particular source or who it was that wrote it, also feel free to ask. I do apologize for wonky formatting (due to the transition from Google Docs to websites!) or ramshackle citation (rather spur of the moment to share it).
Hopefully this helps people interested in the period!
SECRET HISTORY OF THE MONGOLS, and MONGOL-YUAN PERIOD
Cleaves, Francis Woodman. The Secret History of the Mongols: For the First Time Done into English and out of the Original Tongue and Provided with an Exegetical Commentary. Translated by Francis Woodman Cleaves. London: Harvard University Press, 1982. http://altaica.ru/SECRET/cleaves_shI.pdf
de Rachewiltz, Igor. The Secret History of the Mongols: A Mongolian Epic Chronicle of the Thirteenth Century. Translated by Igor de Rachewiltz. Edited by John C. Street. University of Wisconsin: Madison, 2015. http://cedar.wwu.edu/cgi/viewcontent.cgi?article=1003&context=cedarbooks (without his extensive annotations, unfortunately)
Kahn, Paul. The Secret History of the Mongols: The Origin of Chingis Khan (Expanded Edition) An adaption of the Yüan Ch’ao Pi Shih, Based Primarily on the English Translation by Francis Woodman Cleaves. Translated by Francis Woodman Cleaves. Cheng and Tsui Company: Boston, 1984. https://books.google.ca/books?id=GKCtl8BLaEsC&pg=PA191&dq=alan+guard+mongols&hl=en&sa=X&redir_esc=y#v=onepage&q=alan%20guard%20mongols&f=false
Onon, Urgunge. The Secret History of the Mongols: The Life and Times of Chinggis Khan. Translated by Urgunge Onon. RoutledgeCurzon Press: Abingdon, 2001. https://jigjids.files.wordpress.com/2011/05/the_secret_history_of_the_mongols_the_life_and_times_of_chinggis_khan1.pdf.
Kenneth W. Chase, “Mongol intentions towards Japan in 1266: Evidence from a Mongol letter to the Sung.” http://chinajapan.org/articles/09.2/09.2chase13-23.pdf
The Monks of Kublai Khan, Emperor of China or The History of the Life and Travels of Rabban Sawma, Envoy and Plenipotentiary of the Mongol Khans to the Kings of Europe, and Markos Who as Mar Yahbh-Allaha III Became Patriarch of the Church of the East in Asia. Translated by E.A Wallis Budge. London: Religious Tract Society: 1928. http://www.aina.org/books/mokk/mokk.htm
The Chronicle of Novgorod 1016-1471. Translated by Robert Michell and Nevill Forbes. Camden Third Series: London, 1914. http://faculty.washington.edu/dwaugh/rus/texts/MF1914.pdf
al-Maqrizi. Histoire des sultans Mamlouks de l’Égypte. Translated by Étienne Marc Quatremère. Paris: Oriental Translation fund of Great Britain and Ireland, 1845. https://archive.org/details/histoiredessulta01maqr
al-Nasawi, History of the Sulan Jelal al-Din Mingburnu, translated by O. Houdas http://remacle.org/bloodwolf/arabe/nesawi/sultan.htm (In french, but google translate did the site to a reasonable degree for me)
Juzjani. Ṭabaḳāt-i-Nāṣirï: A General History of the Muhammadan Dynasties of Asia. Vol. I. Translated by H.G Raverty. London: Gilbert & Rivington, 1881. https://archive.org/stream/in.ernet.dli.2015.23988?ui=embed#page/n5/mode/2up
Juzjani. Ṭabaḳāt-i-Nāṣirï: A General History of the Muhammadan Dynasties of Asia. Vol. II. Translated by H.G Raverty. London: Gilbert & Rivington, 1881. https://archive.org/stream/in.ernet.dli.2015.211407?ui=embed#page/n5/mode/2up
Kirakos Gandzakets'i's, History of the Armenians. Translated by Robert Bedrosian. 1996. https://archive.org/details/KirakosGanjaketsisHistoryOfTheArmenians
Vardan Arewelt’si, Compilation of History. Translated by Robert Bedrosian.
Grigor Aknerts’i, History of the Nation of Archers. Translated by Robert Bedrosian. https://archive.org/details/GrigorAknertsisHistoryOfTheNationOfArchersmongols
Het’um of Corycus History of the Tartars/ The Flower of the Histories of the East. Translated by Robert Bedrosian. http://www.attalus.org/armenian/hetumtoc.html
King Hetum II’s Chronicle. Translated by Robert Bedrosian. https://archive.org/details/KingHetumIisChronicle
“The Journey of Het’um I, King of Little Armenia, to the Court of the Great Khan Mongke.” Translated by John Andrew Boyle.https://archive.org/details/KingHetumIisChronicle
Smbat Sparapet. Chronicle of the Kingdom of Little Armenia. Translated by Robert Bedrosian.
Smbat Sparapet. “Letter of Smbat Constable to Henry I of Cyprus, ca.1248.” Cathay and the Way Thither. Edited by Sir Henry Yule. London: Hakluyt Society, 1915. 262-263.
Step’annos Orbelean. History of the State of Sisakan. Translated by Robert Bedrosian.
Hamadani, Rashid-al-din. The Successors of Genghis Khan. Translated by John Andrew Boyle. New York: Columbia University Press, 1971. https://archive.org/details/Boyle1971RashidAlDin. (not the full text of Rashid al-Din)
‘Ala-ad-Din ‘Ata-Malik Juvaini, The History of the World-Conqueror. Vol. I. Translated by John Andrew Boyle. Harvard: Harvard University Press, 1958. https://archive.org/details/historyoftheworl011691mbp/page/n8
‘Ala-ad-Din ‘Ata-Malik Juvaini, The History of the World-Conqueror. Vol. II. Translated by John Andrew Boyle. Harvard: Harvard University Press, 1958. https://archive.org/stream/historyoftheworl011648mbp?ui=embed#page/n8/mode/2up
Mirza Muhammad Haidar Duglught Beg, Tarikh-i-Rashidi. (1500-1551) Chagatai Turko-Mongol general, ruler of Kashmir, first cousin of Babur. Wrote history of Timur’s conquests, Moghulistan. https://archive.org/details/TheTarikh-i-rashidi
Matthew Paris’s English History From the Year 1235-1273: Vol I. Translated by John A. Giles. London: Bohn’s Antiquarian Library, 1852. https://archive.org/stream/matthewparisseng01pari#page/n7/mode/2up
Matthew Paris vol II. https://archive.org/stream/matthewparisseng02pari#page/n5/mode/2up
Matthew Paris Vol III. https://archive.org/stream/matthewparisseng03pari#page/n3/mode/2up
(Paris mentions the Mongol invasions of Hungary in one of these volumes, but I couldn't remember which)
de Joinville, Jean. The Memoirs of the Lord of Joinville: A New English Version. Translated by Ethel Wedgewood. E.P Dutton and Co.: New York, 1906.
The Text and Versions of John de Plano Carpini and William de Rubruquis as printed for the first time by Hakluyt in 1598 together with some shorter pieces. Edited by C. Raymond Beazley. London: Hakluyt Society, 1903.
Polo, Marco. The Book of Ser Marco Polo, The Venetian: Concerning the Kingdoms and Marvels of the East. Translated by Henry Yule. London: John Murray, Albemarle Street, 1871. Vol 1. https://archive.org/details/bookofsermarcopo01polo.
Bretschneider, Medieval Research on Eastern Asiatic Sources, vol. I
https://archive.org/details/in.gov.ignca.10001/page/n7 (Extract from Yelu Chucai; Wu-ku-sun (1221-1224) Jin envoy to Mongols; Chang-chun; Si shi Ki (Ch’ang te); Ye-lu Hu Liang)
Bretschneider, vol. II
Bretschneider, Notes on Chinese Medieval Travellers to the West, 1875
(Si yu ki, Ch’ang-ch’un, 1221-1224; Si shi ki, Record of an embassy to the regions in the west, 1259-60; Pei shi ki, Wu-ku-sun account, 1220-1221; Extract from Si yu lu, Yelu Chucai 1219-1224)
Cathay and the Way Thither: Being a Collection of Medieval Notices of China. Translated by Henry Yule. Edited by Henri Cordier. Vol. 2. London: The Hakluyt Society, 1913. (Odoric of Pordenone.)
Cathay and the Way Thither: Being a Collection of Medieval Notices of China. Translated by Henry Yule. Edited by Henri Cordier. Vol. 3. London: The Hakluyt Society, 1914. Missionary Friars (John of Montecorvino, Andrew Bishop of Zayton, Jordanus, Pasca of Vittoria)-(Rashid al-Din, when he discusses China)-Pegolotti -Marignolli https://archive.org/details/cathaywaythither03yule.
Cathay and the Way Thither: Being a Collection of Medieval Notices of China. Translated by Henry Yule. Edited by Henri Cordier. Vol. 4. London: The Hakluyt Society, 1916. Ibn Battuta (section of his works pertaining to China)- Benedict Goёs (1600s) https://archive.org/details/cathaywaythither04yule.
Source: reddit post