I'm an avid fan of medieval, renaissance, folk and baroque musics, and some of my own compositions have some ancient music touch (I like to see this as my trademark).
I've also made some quick or longer covers of such musics.
Here is a quick conversion of some Tielman Susato renaissance musics on C64: http://2a03.free.fr/dl.php?file=4828 (it's a C64 disk image you can use in emulator, the sid files are included in it). It was quick because I've only used the convenient midi to sid converter from sidwizard. It could be done more carefully with some rework on the instruments for example. You can get one of the sid files there: http://2a03.free.fr/dl.php?file=4825
On OPL3, I've made this which is obviously like renaissance dances: https://soundcloud.com/garvalf/cyber-danserye
This tune (on C64) was inspired by renaissance dances as well: http://garvalf.free.fr/var/upload/musiq
e1_drm.ogg
This other one a bit by baroque: http://garvalf.free.fr/var/upload/musiq
id8580.ogg
So not much pure baroque music, which is a shame. Lully's Marche pour la cérémonie des Turcs is without doubt, along with Marin Marais' Alcyone music, one of my favorites, so it could be a very very good idea to make a cover of it! So... challenge accepted.