Hi,
Don't know exactly what you want to do, so don't know if it will be enough for you, but you can see a list of last finished games, and expand it little by little. Or see a list of all games played by one given player.
On the game page, at the bottom right of the first white block (game name, banner and description), you can click on "see more" to display this full block. Then you can click on the number of played games to display last results. The last ten are showed, and you can repeatedly display ten more by clicking "see more ..." at the bottom of the page.
Depending on what you're looking for, you have also another option: at the top of this last results list, there's a "find a game" link, that links to the game stats page. (direct link for terra mystica:
https://boardgamearena.com/gamestats?game_id=1118)
You can see all games played by you, and you can change the player name to see all games played by somebody else. But you can't (to my knowledge) display all games played by all players.
