craigs notifica or whatever they call it these days... best craigs search tool around... click the link for direct access... not even sure if you can find it with the search these days... sometimes you can't find em...
https://play.google.com/store/apps/details?id=com.mufumbo.craigslist.notification.android
Gmail... or whatever email you use... most all online have an app... if you have a pop3 you can just use the default email app on the phone
next... save your local maps so you can use the maps with no wifi or data signal... just click the menu button and hit the "make avl offline" portion.... if I was traveling I'd save every bit of the road I'd be near... granted i'm on ATT and my connection is spotty in so many areas... but when I move to verizon in jan/feb i'll do the same... just in case.
Pandora is a great app if you like tunes... run it on my computers, phone, and on my TV (roku)...
Google play is another nice one for music... if you've got your own music on the computer it lets you put the music in a "cloud" and you can stream it to your phone.
Dolphin Browser HD as mentioned above is a great browser, has tabs and works well... but if you are concerned with data limits you might also try out Opera... it has a filter so it doesn't pull in as much data for pics (I used opera on my PC back in the 90's and early 2ks for the similar feature while on dial up)
Gauge battery widget... I tried a few out and I liked this one... puts an actual number on the top bar for the battery %... also lets you see what is using the most power (phone prob has something similar built in but I just like this one)
GOOGLE VOICE... it has a TON of features even outside of the phone... but the big perks are that it'll do your voicemail stuff... it'll transcribe the voicemail and email it to you, txt it to you and and you can also read/play it from the app on the phone... this is awesome for when you can't grab the phone and check VM but you can get a quick glance at the msg... it's not perfect at transcription but you usually get the jest of the msg
fuelLog keeps track of your MPG and other stuff... there are other options but this one worked nicely.
GTasks... ties into gmail... lets you put notes to yourself and they'll show up in your gmail account on the computer...
GasBuddy finds the cheap gas in the area... uses maps
ScanLife scan a bar code and itll bring it up... tell you where you can get the product cheaper online or local... don't use it much but it's a nice little tool
millions of other stuff... but i'll let it go at that lol