Help me decide : Mini or iMac

Probably i made lots of posts about this , This one is the last one i guess , I am near the end of finalizing my purchase.

Mac Mini + 1080p = fail or good ? I heard so many problems regarding HMDI + Mini , that i delayed nearly 2 months waiting for that issue to be fixed but it didn't or is there a secret solution i didn't knew of ?

What all i want from a Mac is , to hook it up to my 42 inch LG TV @ 1080p and my purchase is a long term purchase , So which one does the Job well ?

Which model would you pick ? My needs are simple.