These first two are from Otobeya

This is a remix of the normal battle theme from Final Fantasy 3 (NES/DS). In addition, that happens to be my favorite Final Fantasy game.

Here's a cover of one of the My Neighbor Totoro songs, and I'm not really a fan of Hayao Miyazaki's movies.

This next one is by Mr. Aquamentus:

Final Fantasy 2 (NES) battle theme.

This was made by Daveeeey

Finally, here's one from Sabre Mage

MMX8 Jakob Orbital Elevator.

Thoughts on Chiptunes:
When it comes to music that simulates old videogame systems, the ammount of Super-Nintendo-style chiptunes are obscenely low. Mostly it's just NES, Game Boy, and Sega Master System (Non-FM) sounding songs, which while good, are starting to get redundant. It Would be nice if more people tried out some more 16-bit sounding music, and I might have to do so.