Hmmm now that I think about it, JPL and any other company that contracts with the US military will not hire anyone without US citizenship. It kinda sucks, but thats the reality . . .
Haha, so the reason I wouldnt be able to give you a list of obscure companies is simply that they are too obscure. For example, the job I now have found me - I had zero idea of what CBMSE at NRL was . . . Many companies do mostly non-robotics stuff, but they often might have a small experimental robotics project going on that isnt advertised to the public. Just apply to technology and engineering companies, and you might get lucky.
Search job sites like Monster . . . post your resume on a bunch too. Go to job fairs.
Probably better to not look for jobs in robotics, but instead in mechatronics. Its really close in skills used, but the job opportunities are much much higher for recent grads.