KeePass works well too - open source, offline solution that has an "Autotype" function.
I actually only run into passwords that are a pain on mobile devices. Now that my Android phone has no keyboard but tons of power, that's becoming more and more significant.
I use keepass too. I keep my database in dropbox and use the android dropbox and keepass clients on my android. Logging into an app or website involves opening dropbox, clicking on the database[1], entering my password, choosing the site, and clicking on "copy password to clipboard." It's a few extra steps, but it's not that much of a hassle.
[1] I find this easier than opening keepass and selecting the database from dropbox for some reason that might be as simple as dropbox having an easier to spot icon.
You can also use the favorite feature on Dropbox to keep a fresh copy of the database on your phone and have KeePassDroid remember that location. Then your flow is 1) open KeePassDroid 2) enter password 3) select site 4) copy/paste
The enter (long alphanumeric and symbols) password/copy/paste/switch window was a little clunky in Android 2.2. Little better in ICS, so need to get back to using this.
One more KeePass user here (actually KeePassX). But I'm using it only for not my own passwords, provided by others and so on.
For my personal ones I'm keeping few algorithms in my brains. I'm using resource type (website/some server/device) and name (e.g. domain/model) as variables and after few steps in my head I always have different password for each kind of service.
