oops, I didn't read Ansel's post and wanna comment on it.
1. A great 2D fighting game, with lots of characters, high-quality animation, and online multiplayer. Like old-school arcade fighters, but even more kickass.
Yes, this would be sweet. The online multiplayer would take a very knowledgeable programmer, but would totally make the game.
2. A rail shooter, done in Flash.
These have been done a few times, and aren't really that hard to make, if you've got swift3D.
3. A game where you carry some enormous, heavy object through the game. You can roll it, throw it, kick it, whatever it takes; using it to mow down enemies and solve puzzles, etc.
this actually sounds like a really clever idea, something I think brad bourne touched on in FPA world 2 with the snail shells. It would be interesting to see an entire game designed around that. It would be great fun in the same way that katamari damaci and loco roco are.
4. There's a platformer I've been thinking about for a few years now that revolves around an explorer in a huge Mayan temple or something, searching for treasure and fighting things. I had some notion of using sunlight for a lot of things-- redirecting its rays with mirrors.
That could be fun, and not terribly difficult to make. Personally, I'd rather see something like your previous suggestion done, but that's just because I've made 6 platforming games.
Now that I'm really thinking about it, I've got a few other ideas that I came up with or started working on and never finished.
1. UFO- a game where you fly a UFO with the arrow keys and press space to use your abduction ray. You hover over a farm and start by abducting sheep and cows, eventually bulls (which hurt you), farmers with guns, pickup trucks with farmers in the back, policemen, and tanks would come and try to shoot you down. Your only option is to abduct them before they kill you.
2. Banana guided monkey game- an unfinished game where you lead a monkey through platforming puzzles by dropping bananas. if the monkey reaches a wall or ledge, it automatically tries to jump over. This idea came from one of the ratchet and clank games where you use a gun that fires bananas to make a monkey distract enemies and stuff. I had a hard time getting it to work, maybe someone else should give it a try.
3. A game where you pilot a jet-fighter in a side-scrolling shooter. What would this game unique is the ability to slow time for brief periods in order to dodge oncoming projectiles and such. This would be simple to do, multiply an object's speed constant by a time variable. When time is normal, the variable equals 1. When time is slowed, it could be 0.5.
4. A game where you captain a pirate ship and manage all the things associated with pirating. This would be a very non-linear game, where you could travel to different islands in a fictional archipelago, each with different things to do, and obviously you could plunder other vessels. This game would be very time-consuming because of the volume of stuff in it, but if done well would be very successful.