My original plan was to hold out for the Razr Maxx HD, and I followed all the rumors all summer. Then I saw one that said they were putting a mid-sized battery in, it wasn't going to have a 13 MP camera, and by the end of August there still wasn't a release date on it. Since my priorities were 1.) battery and 2.) camera, I was pretty disappointed. So I got the S3 a few days before Sept 5 figuring I could return it if all the rumors were wrong and the Razr HD did come in a Maxx or had a great camera and wait for it to be released. But honestly, even when they DID announce a Maxx, I decided to keep the S3. I'm not a fan of the huge phones (I have an Incredible 2 for my work phone and while I know a lot of people will disagree, I do think there is something to the width of the 4" phones), but the S3 doesn't feel like a huge phone in my hand. The Razr's all feel clunky when I hold them and have no sleekness. Plus, well, I really like having a white phone too
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My top priorities were camera and battery - I'm doing great with the battery. Yesterday I pretty much read a book all day so the screen was on, did some emails and surfing, was at 38% after 15-16 hours unplugged. I use the battery saver option, make sure that GPS is off but do leave haptic feedback and bluetooth on. I also try and use wifi at work. And the camera is GREAT. I really love how easy it is to adjust the settings on. Still not a fan of the physical home screen button, but I'm slowly tolerating it better and better. Were it not for that button, this would be, IMO, the perfect phone.
Someone also mentioned updates - another selling point for me was that my friends with S2's had had ICS for months, and there I was like a chump on my TBolt with no idea if or when I'd ever get ICS. Given that this phone is on all carriers and Samsung has sold a ton of them, I think it's safe to bet that they're going to support it for a long time (well, long in the world of smartphones).
That said - all my friends with Razr's love their Razr's. I think you can't go wrong really, it's more a matter of going from happy to glad and you just have to decide what you want. Go to the store and see what feels good in your hand. I don't think battery life is really an issue given the good performance people are getting on GS3, plus you can always get an extended or spare battery if needed. And as one person pointed out when I was going through this debate - when your Maxx battery is dead, it's DEAD and you're stuck. With the GS3 at least you can swap it out for a fresh one. Okay, so can't help myself, I'm GS3 biased, but hey, this is a GS3 forum.