Fishbones is the name of the place the other answerer could not remember. It is just okay.
1. CURRENTS
Taking your age and location into consideration, I will recommend a brand-spanking new place called Currents which is on the water just east of the Ren Cen (where you are staying) The hotel should know about it. Irish pub with live entertainment (jazz, irish, and cover...sometimes DJ) on the weekends. The food is upscale. Try the curried pork appetizer, or the scotch egg warm or cold. If you see an older bald guy behind the bar, that's Bob the owner. Tell him Rabbit sent you!
2. MAJESTIC
If you want veggie - go to the Majestic, it's straight north on Woodward. I'm not vegetarian, but the food is great! So are the martinis!
3. NEMO'S
If you want the best burger in town and a chance to run into a retired sports pro - go to Nemo's on Michigan Ave by the old Tiger's Stadium. Free parking too!
4. SMALL PLATES
There is a nice place called Small Plates - self explanitory - ask the hotel, they know it.
Skip Greektown unless you have a sweet tooth, there is a good pastry shop. Mexicantown is good but can be tricky to find.
5. TOM'S OYSTER BAR
A lot of people go to Tom's Oyster Bar across from the Ren Cen. It's hit or miss for the crowd.
6. TWINGO'S
Crap, there is one more place by Wayne State University...Help me out here someone! It's a small French restaurant. I'll get back to you! It's a good one though! Okay, I'm back! It's Twingo's. 4710 Cass. I forgot about it, I might have to go there...