I don't know about most companies because I only shop for a handful these days. I do know that Market Force, TrendSource (a.k.a. The Source), Reality Based Group, Customer Impact, and Bare International offer direct deposit to your bank.
If you are shopping full time or if you do not want to be extremely limited in job selection, I would recommend what @Morledzep suggested - establish a new PayPal account. It should be as simple as using a different email address and checking account number.
@kelsie wrote:
Do all of these companies use PayPal to pay you? PayPal closed my account without reason, so I could only use a bank