I got my second BA entirely online, from the University of Maryland University College. It's very legit.

http://www.umuc.edu/index.shtml

You mostly want to see if whatever college is regionally accredited by whoever does "regular" colleges in your area: http://www.umuc.edu/gen/accred.shtml All the accreditation commissions have websites and you can see the names of the schools and you should recognize them and they should be major/big schools, etc. http://www.msche.org/

But UMUC is geared to military (I was in class a few semesters ago with an Army student who was working from Iraq!). I like UMUC because there actually are "classes" online and other students and you work/communicate kind of like here discussing things so you don't feel alone and if you get lost, there are others to help explain things, etc. Lots of reading and writing though when you work online! You have to be very motivated and self-starting because nobody makes you turn things in every week; there's just 2-3 papers/projects and a final (sometimes a midterm but it's downloaded), etc. The final is proctored but that's easy; any community college near you can do it or lots of other sorts of places. But you don't ever have to go to class anywhere ever. I use to go on vacation and take my finals in Florida, at the beach! I've done my work from campgrounds and other wild places; it's actually loads of fun once you get the hang of it.