Of course, if you really are board game geeks, you know about the website, right?
Anyway...
https://boardgamegeek.com/boardgamemech ... ative-game
Lessee. About seven thousand items listed there, but some of them are expansions and components of the base games.
As far as specific suggestions: Any game where the goal is to beat a defined strategy (the way the game attacks the players) will eventually cease to be difficult/entertaining because the players will have devised a method to combat it. So, the object then is to push that off as long as possible. With that, I like
Hotshots. It has a modular board and suggests different configurations, leading to a larger variety of "what's the biggest priority NOW?" options.
Then, there's
Forbidden Sky (the sequel to Forbidden Desert). Players actually create the board during play.
Coop games with full information tend to have a quarterbacking issue, though. One player tells everyone else what to do. To combat that, I like the "coop with a (possible) traitor" games. These include Shadows over Camelot and Dead of Winter (already mentioned), as well as
Battlestar Galactica and
The Thing: Infection at Outpost 31. These are unfortunately out of print, and also don't play well with less than about 5 players.
Then, of course, there's the whole mystery solving series of games. Only good for one playthrough, but they tend to make for enjoyable evenings with friends.
Sherlock Holmes: Consulting Detective (multiple mysteries in the box),
Detective: A Modern Crime Board Game (side note: watch out for
how deep the rabbit hole is on this one) (5 interlocking mysteries in the box, another available for download), and
T.I.M.E. Stories (base game has 1 mystery, expansions are available with new mysteries in them) are my favorites of these.
As far as I know, none of these are available on-line.
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...like waiting 1 minute after the time starts to actually start rolling your dice 
