Ohai, I have been doing some digging.
I'll start off with ze freeware games.
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Flail - Physics-based platformer with alot of stages. Singleplay and/or co-op and a third person can even hop in. Also a level editor and more tidbits. Aside from the normal jumping, ledge grabbing and more jumping, this game has something nice to it. The ability to 'fly'. Basically, you jump/stand, you push the 'fly' button, aim and after a short amount of time, you launch quite a distance. Cool game, check it out.
Jumper - Another platformer, simple graphics, simple music and such, but the difficulty is not simple...far from it...
Also a good one, with very challenging stages. There are also two sequels,
Jumper 2 and
Jumper 3.
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And now some SNES games. :3
Kicking off with platformers.
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Donkey Kong Country - One of the best platformers for the SNES, 'nuff said. Nice graphics, good music, solid controls, smeared out with some humour and you get this game. Highly recommandable.
Donkey Kong Country 2: Diddy's Quest - The awesome sequel to the awesome DKC1. Basically the same description as DKC1, it's just as good.
Maui Mallard in Cold Shadow - Jumping around with our favorite duck, Donald Duck. This game starts out kinda slow with the first five levels, but after a certain powerup in the sixth level, you get GOOOLD!! Just as awesome as the two above.
There's also a PC version.
Now the platform/puzzlers.
Lost Vikings I and
II. - I love these games, clever puzzles mixed with some jumpy action. These also contain a good amount of humour. In the first one, you start out with the three extremely manly vikings and go on a adventure to get somehow back home. After being kidnapped by a big green alien. Yes, a big green alien. In the sequel, the vikings are once again being annoyed by the big green alien, however, this time your cast will grow, giving new perspectives to the puzzles.
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Huff, ho. Wauw, more text then I expected. Anywho, these are some great games that came up in my mind.
Have fun. :3