No for me the last beta was pretty stable crashing only after 4 or 5 hours of continual play, 1.0 locked up once on me but never crashed, and I can honestly say 1.01 has never crashed on me. Are you playing single or multiplayer and if the former are you on sandbox or campaign.
I generally play on single player sandbox. Do you only get crashes with your old save game or when starting a new game?
I have Windows 7, a GTX295 graphics, 6Gb Ram card and an old quad core processor.
Have you raised a support ticket? Some of these crashes can be pretty system specific and opening a support ticket attaching crash bumps, etc might help Stardock to find your issue.
Also you could try validating your local files through steam, as it could be you have a corrupt file that it needs to replace.