Just finished my first game, small map on epic with all opponents. Took about 4 hours and generated 10 crashes.
Crash 01 (Turn 189)
Crashed while clicking end turn, windows crash message but no other error messages.
debug_01.err
Elemental1_19h-2011-03-22T19-28-16-310.zip
Crash 02 (Turn 451)
DX error: invalid call, crashed while trying to alt-tab back into the game after tabbing out to save a screen shot. No zip file was generated.
debug_02.err

Crash 03
Crash when clicking load while having a saved game selected. This was after repeated (~10) previous reloads while trying to reproduce a bug. Windows crash message, no other errors displayed.
debug_03.err
Elemental1_19h-2011-03-22T20-50-47-35.zip (0 bytes, empty file)
Elemental1_19h-2011-03-22T20-50-47-35.dmp
Crash 04 (Turn 620)
OOM while moving units on the strat map, one turn after an enemy took one of my cities. I assume the turn was currently ending.
debug_04.err
Elemental1_19h-2011-03-22T21-43-17-401.zip

Crash 05 (Turn 780)
OOM while clicking end turn, one turn after taking an enemy city.
debug_05.err
Elemental1_19h-2011-03-22T22-32-30-788.zip

Crash 06 (Turn 839)
Crash while clicking 'Load' while having a saved game selected. This was after about half an hour of continuous play after restarting the game, no other loads. Windows crash message, no other error messages.
debug_06.err
Elemental1_19h-2011-03-22T23-07-14-07.zip
Crash 07 (Turn 847)
DX error while trying to tab back into the game after saving a screen shot. After clicking OK, typical windows crash message appears. No zip file was generated.
debug_07.err

Crash 08 (Turn 870)
OOM after restarting the application and loading the autosave from the last crash, moving troops around the map at the time.
debug_08.err
Elemental1_19h-2011-03-22T23-40-22-771.zip

Crash 09 (Turn 873)
Crash after restarting application and loading autosave from the last crash. At time of crash attempting to move troops, one turn after taking an enemy city. No zip file was generated, typical windows crash message, the contents of which I have attached in a txt doc.
debug_09.err
crash_09.txt
Crash 10
Crash while attempting to save a game, crash when pressing save. App newly restarted, no other saves/loads.
debug_10.err
Elemental1_19h-2011-03-23T00-12-15-269.zip (0 bytes, empty file)
Elemental1_19h-2011-03-23T00-12-15-269.dmp
crash_10.txt (contents of windows error message)