Things Captain America has never done:
*Flown without an airplane
*Leaped over a tall building in a single bound
*Had bullets bounce off his bare skin
*Fired heat rays from his eyes
*Bench pressed a mass equivalent to the weight of the earth for two days straight
One thing I wish they hadn't done in the MCU is they gave Cap superhuman strength. He was always at peak possible fitness for a human being, but they also showed him working out and practicing to keep in shape. The whole "on your left" thing, kicking humvees into people, and holding down helicopters with his bare hands was a mistake on Marvel's part.
Hawkeye kinda makes up for it, but still... they could have easily accomplished the same stuff without making Cap superhuman.
Even with the power creep of the MCU, Cap and Supes are on two entirely different levels power-wise.