Them There Crawfish Boxes had the link first, but Baseball Prospectus gave a little recap as to the state of Eddie's Farm. There's far too much to pull from, so just go ahead and give it a click for full info.
That said, here are the Astros' top 10 prospects, according to BP:
1. Jordan Lyles, RHP
2. Delino DeShields Jr., 2B/OF
3. Mike Foltynewicz, RHP
4. Ariel Ovando, OF
5. Jonathan Villar, SS
6. Jimmy Paredes, 2B
7. Tannuer Bushue, RHP
8. J.D. Martinez, OF
9. Mike Kvasnicka, 3B/OF/C
10. Jiovanni Mier, SS
And your money quote, from author Kevin Goldstein:
A combination of bad contracts, little young talent, and a poor minor-league system leaves the Astros with a big hole to dig out of. They're getting better slowly, but a return to contention is still years away, and anything but guaranteed.