Ordered from a new place last night Noodle Express in business bay really nice, reasonably priced and actual owner answered the phone !!! British expat, now there's a new experience : )
Agree Food on Click is a good place to start as you can list all of the places that deliver to your area. I use this site but try to make sure we only order from the places close by as some offer to deliver from the other side of the city so I imagine not very good once it arrives.
What type of food do you like? We like Al Arab, NKD, Curry Box....all available for Motor City