Bug 1)  I purchased Elemental yesterday and played my very first campaign game.  Later in the game, I had three scouts and two ships on auto explore.  Frequently I would click Auto-Explore when the unit was near the edge of the map, and it wouldn't do anything.  I had to manually move them in further before it would accept my auto explore command.

Bug 2)  Then, suddenly, I got extreme lag.  I would scroll out to the cloth map, scroll back in, and none of the graphics would re-render.  Everything was excessively slow/choppy (scrolling, issuing move orders) and I couldn't move any of my units.  I disbanded my 3 auto-explore scouts and everything was right as rain again.

Bug 3)  A few turns throughout the game, my main city would change color and name to another city owned by another player on the map, but I would still have full control over it and the city screen had the correct name on it.  Ending the turn usually changed it back, sometimes it took two turns.  This happened in a single player map as well, so it was not limited to the campaign.