Since i didn't see it mentioned, I'll throw in my 2 cents.
You need to decide what you want the app for:
1) Is it simply as a reference in case you forget your passwords, or do you want something that you will use daily and have it automatically know your passwords when you browse sites?
2) Do you need to store passwords Outside of those for your computer browser, such as home security codes, credit card security questions etc..
3) Do you need something that you can access anywhere in the world, or do you want to make sure to carry a device/paper/PC with you to get access to your passwords?
Those were the 3 main criteria questions I used a while back when trying to decide, and the one that fit the bill the most was Siber Systems' Roboform.
What I like about it is that when I'm on a PC it automatically puts a toolbar in my browser which lets me '1-click' to log into a site. In addition the program is fully run from a USB drive so no software on the PC is needed. I can even pick up that drive and plug it into any PC that has USB and it will automatically re-hook the browser plug in.
It also can function as a standard 'look up this password' by accessing the tray icon when it's running.
I can add any passwords I want, even if not a web browser type manually. (Browser passwords automatically get saved if you choose to, or prompted).
They also have an online version which is FREE if you use any of their desktop software (standard or '2-go' which is the USB version counts).
Using the online version lets you gain access to your passwords from anything that can browse the web.. INCLUDING your android phone. In addition for Android they have a 'bookmarket' app that will auto fill your passwords while surfing on the phone. It's not the most elegant interface, but it does work with both the default browser, and Dolphin HQ (I use dolphin myself and it seems to work though not supported).
There's only one big drawback that I've found, and that is exporting your passwords. Because of the way it is able to automatically fill in websites, it has no standard format that can be easily exported and reimported to another program. You can of course print out your passwords, and export to CSV, but each password/site combination can have a different amount of fields and even a different order.
Overall even with that flaw it's probably the best one I've ever used.
It has lots more options and featuures of course, but you can read all about it at the site:
RoboForm Features: Fill In Forms, Automatic Forms Completion, Save Forms, Search Toolbar
and the bookmarklet can be found on appbrain or the android market:
RoboForm Bookmarklet Installer
by Siber Systems
5,000 downloads, 86 ratings (3.1 avg)
Free
Note: I am NOT affiliated in any way with Roboform.. I just love the software