How'd you get by without the core crap? I don't really know of any legit universities that skip the 2 years of BS general ed. Clearly gen ed doesn't work anyway, because I know way too many college educated people who can't spell and usually don't even make sense when they write or speak *cough*bush*cough*.
Probably a school like ITT Tech. Specialty schools generally don't press all the other crap because they don't have to. I think there is quite a few universities that do no require such things, ITT and probably just about any automotive specialty school (like diesel mechanic etc)