BC riches suck. Stop asking.

If by "good looking" you mean something shaped like a BC rich, the closest I can recommend are Epiphone explorers and flying V's.

The Jackson RR3 is really good, too, only costs more.
All you have to do is find a guitar in a shop that you like the look of, play it unplugged to make sure the wood is of a reasonable quality and bam, you have a guitar that can be upgraded.

To me, the best ones to do up are Mexican Strats or pretty much any Epiphone.
Ibanez PGM301
Ibanez GRG170DX
Fender Telecaster MiJ - 1986
Swing T-Through

Ibanez TS9DX
Sovtek Small Stone - c.1985
EHX Big Muff
Kimbara Wah - c.1974
Boss GE-7

Orange Rocker 30 Combo