Unlock Ex-Specials for everyone:
Beat Revenge mode

Unlock Revenge Camera mode in Exhibtion:
Beat Revenge mode twice

Easy $5,000:
Beating Tutorial mode without skipping anything.

Unlock the Warehouse Revenge level:
Beat the four levels of Revenge.

Unlock Bosses in Exhibition:
Beat the last mission of each level.

Unlock Exhibition Revenge matches:
Beat all six missions in each level.

Thanks to Revolution reader John!