OK, never mind, found them. You choose Play from Play, then choose Games, then choose Daily Games ... not great. A good user interface would put your active games within easy reach.
Where are my current games?

Yes, this was changed (I wish I knew why). Currently I'm using a bookmark (https://www.chess.com/daily) to directly access my list of daily games, since that page doesn't appear in site navigation anymore. Hopefully, they won't remove that page entirely - because the tiny right-column list in Play is far less helpful.

Unable to find my daily games.. time to switch to lichess
What do you mean? You don't see them on your profile or within Play?
Seems that the web UI has changed, and I can no longer easily find my current daily games (the ones I'm still playing). I know they're somewhere in here ... but where?
Note: I can find them easily when it's my turn to move. There's a little alarm/badge icon that I can click. It's when I want to look at a game where it's the opponent's move that I can't seem to get to.