Iron Man 3
The Hangover 3
Fast and Furious 6
Ask at random 1000 under-25s which movie they would see if they could only see one and I would imagine Star Trek finishes a distant 4th. The solution? move Trek to a quieter time of the year and then it is the only movie worth watching.
Unfortunately, this seems to be the case. I'm 28, and I can say more of my friends are more into seeing Iron Man 3, Fast cars 6, and we got really drunk for a third time.
Hindsight is 20/20 of course, but June and July seem to be quieter months this year overall. The only other huge film seems to be Man of Steel in June.