The government has staggeringly interesting problems that need solving and sole access to some very interesting data, which they will happily share as long as you bring your own pick-axe and shovel.
Go to federallabs.org and start shopping. It's not Amazon, you'll have to actually go to some of these places and meet the custodians of the problems and data, but it's worth it.
I've said Google is where the future falls from the sky like rain. These labs are like the Mississippi River basin, all the water goes here.
The key is prospecting. You want to look around, get a good idea of how big a particular reserve is, and go for something big. You may have to start small, but keep your eye on the prize and work up a glide slope. You can get there. The law was created so you can get there.
Key programs
* Veterans Affairs
* DoD: too many labs to name, coordinated by each service, ONR, AFRL, and ARL
* NOAA
* DoE
* DoI
* DHS
Really, get a look at the Death and Taxes Poster if you want to shop by category. But the labs are the shelves lined with product you need to shop through.