All sorts, most of the degrees where you’d have to do labs/projects as part of the course would allow you to take them at a local school and take the transfer credit over to meet requirements.

Start at the following two sites:

http://www.geteducated.com

http://www.elearners.com

Make sure you check whatever school you pick to make sure it is accredited by the same organization that accredits a tradition ‘brick and mortar’ school where the online school is based. For instance NYU is accredited by the middle states commission on higher education and perhaps others.
http://www.msche.org/institutions_directory.asp

More information on online schools and accreditation:
http://www.elearners.com/resources/agencies.asp

Even your local colleges will offer courses online and some degrees entirely online as well. If you can’t get everything done online don’t be afraid to look at mix and matching, taking some preliminary requirement courses online and transferring them or taking them at a community college then transferring them. You could always do the first couple of years online or distance learning at a local college then transfer to another institution and take whatever you couldn’t get online as night classes.