I've had a chance to play the beta for a number of hours, and have generated a bunch of crashes.  The debug files (assuming they are useful?) are here:

http://www.contrib.andrew.cmu.edu/~bkirby/random/elementaldebug/

For the most part there's no common event - one happened in the unit editor when I clicked on a tab (missile weapons I think?), the rest when I hit the end turn button.  I didn't learn about the save game naming bug until afterwards, so I don't know how repeatable these are.

If there's a benefit to uploading more crashes, let me know (or what extra information makes them helpful).