Depending on what your into...

Poetry reading
Some sort of concert
Bookstore (Browse the books together, and then get a cup of coffee in the cafe if they have one)

Go grocery shopping together and then make a home cooked meal for dinner

Double or group dates for dinner
Bowling (If you go with a larger group you can still socialize with the person youre on a date with while everyone else is bowling, but you dont have to wait as long to end an awkward pause should there be one)

Depending on where you are (Where I am there's snow on the ground so this is a no go for here), go to an amusement park
Mini golf (perhaps indoor mini golf)
Roller/Ice skating

P.s. Thanks for this question, it helped get my brain working since I just woke up and have studying to do for a quiz!

Let us know what you end up doing!
Ro