Thank you for your answer. I've made some research and found out one more person who reported about constant AI crashes after year 1919. I followed his advice and turned off option that allowed additional time to AI. Worked for me as well, at least for now.

I clicked Next Turn button and game showed message box about critical error (while AI players were making their moves) and crashed several seconds later. I attach to this message log file and a file that, as I understand, represents current save (I may be wrong in a latter case, as there are numerou...