As others have said there are in fact general engineering degrees, they called it ESM at my university. But as someone who took both EE and CS courses, I would

As others have said there are in fact general engineering degrees, they called it ESM at my university. But as someone who took both EE and CS courses, I wouldn't consider the EE to be particularly more "vocational training" than the CS. I think it's more of a level thing; higher-ranked universities will tend to be more theoretical and take umbrage at being thought of as vocational training. More prestigious companies will also interview more for your grasp of theory than your skill bullets. E.G. Facebook is a PHP shop but when I interviewed there they didn't ask a single PHP question. I bet they never do.