I've been working as a Software Engineer for 8 years. I have not specialized on any language or technology, as I've been unlucky with my assigned projects and almost all of them used different languages. I could consider myself a Senior regarding general experience, but maybe not regarding technologies. Right now I'm looking for positions as Software Engineer.
My question is, with my experience, is it good to aim for a Senior position as my next step? Or maybe a better question, do you think someone with my experience would be fit for a Senior position?