I love listening to retro games and demoscene music from the 80s and early 90s, which are your 8-bit/16-bit favourites and who was the composer?
My favourite composer is Chris Hülsbeck, here some examples:
Amiga 500 music, the Amiga 500 released in 1987 was a cheap entry model home computer based on the expensive Amiga 1000 desktop computer from 1985. It included improved memory options and a newer kickstart ROM (similar to a new firmware). The Paula stereo sound chip, released in a world of beeping PCs and soundless monchrome Macs was very advanced for its time, on higher specced Amigas or with a CPU upgrade decoded MP3s sounded near CD quality.
Turrican 2 (1991) - Title Music
http://www.youtube.com/watch?v=Fvha_2hAzq0
Turrican 2 - Background music level 1
http://www.youtube.com/watch?v=gmmslIbjfH8
Apidya 2 (1992)
http://www.youtube.com/watch?v=L3gIjMm2P-g
X-Out (1990)
http://www.youtube.com/watch?v=IJuMsK6CtIk
Z-Out (1990)
http://www.youtube.com/watch?v=Yn6YR3uGFWg
Jim Power (1992)
http://www.youtube.com/watch?v=E8JpduxQz0o
Gem'X (1991)
http://www.youtube.com/watch?v=RV13R1hxHNQ
C64 music - The Commodore 64 released in 1982 was similar to earlier Commodore home computer like Vic20 but more advanced, with more memory and a for its time awesome SID sound chip. Later c64 would include a slightly downgraded soundchip.
The Great Giana Sisters (the banned game from 1987, yes I owned a pirated copy... But I bought non-banned Hard 'n Heavy replacement)
http://www.youtube.com/watch?v=YMTdr026bZU
Title theme performed in concert:
http://www.youtube.com/watch?v=SSOS2uwqpfw
On the piano:
http://www.youtube.com/watch?v=s57uEmtOwzI
Hard 'n Heavy (1989, non-Mario like remake of Giana Sisters)
http://www.youtube.com/watch?v=BuMxaloLiBI
Turrican 2 (1991, background music starts 1:12)
http://www.youtube.com/watch?v=bB49A5rExOE