The game Ostia on KS right now has achieved their stretch goal for a solo mode. From the comments section, it appears it's a beat-your-own-score type of mechanism.
In any case, the game has beautiful components. It's got a combo of economic, goal pursuit, and action rondell elements all in an ancient Rome theme.
The cover always reminds me of Oath (the fonts I guess), and the title of Ostium, which I'd really like to try one day.
But the game in itself looks appealing. If I were into that kind of game mechanics, I would sure be heavily attempted. Apparently, the publisher/designer did a great job with their previous game, Aqua Garden.