I have caught a few off the Jersey Shore in the past...
I like them best Saute'd in real butter (unsalted) & garlic...
I add a little olive oil to the butter so the butter doesn't burn...

They are excellent and have a flavor similar to lobster...
If you like lobster, you'll like tilefish...
If you've ever had skate before the flavor is also similar...
The meat off skate wings is truely a treat!

another good way to serve tilefish is coated in yellow cornmeal & flour (mixed 1/2&1/2, coat once with flour, egg bath, coat again with cornmeal & flour mixture) and fried in about 1/4-1/2 inch of 350F canola oil til golden brown and just cooked thru... turning half way thru...
also good deep fried with a good beer batter...

http://www.foodreference.com/html/art-tilefish-7806.html

Interresting fact(???)... I have caught tilefish from around 500-600'...
they like to live on the slope of the Hudson Canyon... and were in the 12-20 pound range...
although they feel a lot bigger when you are reeling them in, due to the drag on all that line that's out!
and after you reel them in, they die from the bends...
or so the captain of the Charter Boat I was on told us when they all came up dead... or soon after landing on the deck...
Tilefish can live as deep as 1400'...
Not sure if that is really a fact, or they just died from exhaustion...

word of caution... if pregnant, don't eat them, as they have a higher concentration of mercury than most fish...