[aaaronic]

Splendor is a great game that meets your description: https://www.amazon.com/Asmodee-SCSPL01-Splendor-Board-Game/d...

Takes about 5 minutes to explain and plays in 30 min or so (After the first game). It has a nice mix of random/strategy, etc.

Edit: The box is way bigger than the contents, so a custom foam solution seems to be popular with some people.

[scj]

If you like Splendor, I can't help but recommend Finca. It has a similar method of acquiring victory points, but the wheel mechanism for gaining $CURRENCY adds just a little more depth.

Side note: I'm processing BoardGameGeek.com data, and one of the goals I've set is around finding a game similar to these two. My best candidate at the moment is "Potion Explosion".

[caseydurfee]

Century: Spice Road would be an obvious match for Splendor.

[scj]

Looks good. I have a list of human recommendations that are contrasted to the analysis. Right now, human recommendations are winning by a landslide, and I suspect your entry will only help that.