I give you fair warning that all of my choices are going to be from the 16 bit era:
First of all, Zombies Ate My Neighbors. That game was just fantastic in it's day. Though the murderous difficulty wouldn't fly in todays market really. But still, even if they dumbed it down a tad, I'd still be there on day one.
Second, Chakan from the SEGA Genesis. A great action adventure title from the old days that never got to shine because of it's lack of a save function. But most games didn't have save options back then. Still, this one was particularly brutal without a checkpoint or save feature. I'd love to see a new version.
Lastly, Mutant League anything. Hockey was my favorite of the two that were released, but I'd take any sport they wanted to throw into the mutant league machine if they'd just bring it back.
And if I had to pick something from the last 10 years, I'd love to see a remake or perhaps just a sequel to Otogi and Otogi 2 from the PS2/Xbox. A couple of great games there and if they could bring it back I'd be ever so happy.