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Back when I was more of a Nastran user than a COSMOS user, I verified that Modal and Static results between Nastran and COSMOS compare well. I haven't tried thermal or dynamic but we're working on some comparative projects.
As an interesting aside, I used to be an MSC application engineer and was led to believe that NASTRAN was the gold standard, at least for dynamics. I knew it sub-standard for nonlinear but the acquisition of Marc seems to have helped this after a few years. However, in comparing NASTRAN results to NAFEMS dynamics benchmarks for a client several years ago, I found that Pro/MECHANICA got much closer to the target response than MSC.NASTRAN did! I was pretty shocked.
I haven't done these for COSMOS but I think we've got an internal project to do so. I'd recommend you download these benchmarks from www.nafems.org and check them out yourself. Great learning tool too!