Well, after having to return my tablet for a defect and a whole lot of problems getting my replacement, I'm back to puttering, and here's some comments on what I've tried:
Go Free - Pretty and fun for an easy game of 13x13 or 9x9. I especially like it for giving to newbie kids to play with because they can beat it, and it's a confidence booster. Not going to upgrade, though.
Gobandroid - It's the only Go app I've tried that will let you hold it sideways!

Nice for review or playing against GnuGo. It will let you save actual SGF files. (Haven't tested that, but if it works, awesome!) Incredible variety of board sizes available, from 2x2 to 23x23. (Seriously, is a 2x2 game even possible?) It doesn't have much in the way of controls within the game, to open a game file you find the SGF with a file manager program, and choose Gobandroid to open it with. No coordinates on the board, which is annoying when you're reviewing a SGF with lots of comments like 'If you had played P13 it would have messed up white's influence and the m10 group would have died."
anDGS - I don't use the Dragon go server, so this is only good for review for me. This is one of the two programs I have capable of opening an SGF file. You can even open it from within anDGS...but only if you type in the filepath. (Needs browsing capability.) It is vertical-only, and also doesn't have an option for coordinates.
ElyGo Lite - Very ambitious, all-around program. Slightly incompatible with my tablet--the score gets cut off. Can't find a 'resign' button, don't know if there is one. No sound, apparently, at least not on my tablet. I believe the paid version lets you open SGF files, but no idea if you can save your own. Has some tsumego built in, lets you play on IGS or against Gnu Go. I may upgrade at some point. Or not.
Champion Go - Yeah, I bit the bullet and actually paid, after reading all the good reviews. Nice game engine, I find it a challenge to play. I tried an even game first and won, then cranked it up to full power, gave myself a 9 stone handicap, and got slaughtered.

(Note: I was kind of trying to get slaughtered at first. I had a reason. But still, it kicked me around even after I got serious. For the sake of reference, I'm around 11/12k on KGS.) The program lets you save your games. And it had an option for coordinates on the board! Unfortunately, it apparently does not open outside SGF files for review. And the games you save on it are not accessible to other programs or to transfer to your computer. There is an option to export via e-mail, but if you haven't got your e-mail set up on your tablet, you are out of luck. (I only use public wireless at work, e-mail isn't practical for me.)
I haven't tried the new upgrade of WegoIgo yet, but I probably will. Looks like it has coordinates on the board...