I've recently been playing a lot of Puzzle Quest Galactrix, the XBLA version.
It's a puzzle game where you match up differently coloured hexagons in a sci-fi setting. There are battles against others (both in the game and online) where you try and use weapons and match up bombs to defeat the opponent. There are variations on the game in mining mode, hacking leap-gates mode, discovering rumours mode. There's an overall universe map and an overarching story to the game together with little bonus missions. There's a trading system which lets you buy new ships and weapons and sell things which you mined from asteroids to make you more popular within a territory as well.
So, it's quite full-featured for a puzzle game.
I love the artwork. Really good, really detailed artwork. Reminds me of the covers of old sci-fi novels and magazines my dad owns from the 1960s-1980s, when people would draw photorealistic sci-fi art on books, before computer graphics could render this kind of thing at all.
There's not much more to say about it really!
It's good for playing while chatting to a friend on XBLA. Engaging and addictive but for the most part you can play at your own pace and it's not too taxing.