ProspectorRL. It's not for Android however (oh dear god I hope someone ports it one day).
Think of Star Trek, a bit of Star Control 2 and a bit of Pirates! mixed together, but as a rogue-like. You start with bugger all, then run around collecting minerals off various planets to trade for cash. You then buy things with that cash. You also find things on the planets. You also upgrade your officers and redshirt crew with that cash.
There are things. Lots and lots of things. Your ship, its modules, its sensors, its engines, its weapons, its extra Gubbins. Your crew, your officers. Their ranged weapons, their melee weapons, their armour, their transport, their oxygen supply, their miscellaneous tools, their bio-enhancements. Mining robots, scouting robots. Fuel for jetpacks. Mining drills. Goggles, sensors. Quest items. You even get your own weapons and armour.
You name it, this game has it. And yes, it has a lot of it. You'll sell some things every once in a while, or choose not to grab some things because yours is already better. But mostly you horde things. All the things.
It doesn't matter how many ground penetrating radars you have. Or how many Medical Officers. Snipers are slightly better at shooting than redshirts, but not at high levels, but it doesn't matter. It doesn't matter if you have 70 hover platforms for a crew of 50, all who already each have their own personal jetpack, you'll get more of both whenever you can. Everyone already has an upgraded disintegrator rifle? You damn well will travel to pick up that laser rifle regardless, even from one side to the other of a toxic acid raining planet that is spewing lava right next to your ship, and going through a heavy insta-kill meteor bombardment. Because you need more. Lots more.
It doesn't so much define your playstyle, as open options to do more things. At the start you can't do anything well, but you can do a tiny bit of one thing. Stuff is really dangerous and a lot of places are off-limits unless you're suicidal. Then you get better at that thing. Because you have a few things. Then you can do more things. Because you have more things. Then you get better at everything. Because you have some of lots of everything. Then you get good at everything. Because you have heaps of everything. But the mindset stays with you. You need more things, better things, heaps of things. All the things. Because, surprisingly enough, some stuff can still be dangerous. So get more things.
One of the best rogue-likes ever. And it's free. It's also written in BASIC, for extra style points.
Main site:
http://www.prospector.at/forum/Wiki:
http://prospector.wikia.com/wiki/Prospector_WikiSourceforge Repository (may be out of date):
http://code.google.com/p/rlprospector/Bay12 topic:
http://www.bay12forums.com/smf/index.php?topic=34943.0