Here is what I've succesfully kept under similar lighting and tank size:
Euphyllia (multiple specimens of frogspawns, hammers, torches)
Candy Canes or Trumpet corals
Shrooms of all sorts, including larger rhoadactis
Zoo's of all sorts, Protopalys, palys, ect. ect.
Various leathers, mainly Kenya Tree's and similar.
Pom Pom xenia's
and the list keeps gonig on and on.
There are going to be plenty you can keep, just not anything that is severly light intensive. And certain corals, such as the euphyllia family may need higher placment in the tank to recieve enough lighting.
You can also keep a number of Non-photosythetic corals with that lighting since it's low enough not to really burn em back, and they will not utilize the light for a food source (or at least they lack the zooanthellae to utlize the light) But these will require multiple daily feedings for the most part and not really a beginers coral, but if you feel up to it, never hurts to try.
Love the quote there by the way, I catch myself doing the same thing every time I watch that movie.