[Galaxy S III General] Shan89:
Hello everyone i am One X user, and i'll try to give to OP the most fair and honest comparison between these two. Now i don't own an s3 but my cousin does and we hang alot together and we did literally every possible comparison between those two in every possible aspect you can think of and i also used his s3 ALOT.

Ok so as for design everyone should admit HoX is better looking and also better build quality so build and design goes for HoX

Screen : S3 has a little bit bigger screen then hox , somewhere around half of the notification in height and half of half in width , screen sharpness is better on HOX simpy cuz s3 uses pentile and HoX uses RGB , also SLCD2 is brighter for around 30% compered ot s3, as for vieving angles that also goes for HOX and for viewing outside on the sun HoX is also better , so conclusion = Hox has better and sharper screen ( SLCD2 is still considered as the best display due time )

Battery : S3 beats hox in battery life hands down , that is for SCREEN on time, avarage we could see on s3 was around 6 hrs while hox was 4-5 tops (personally i've reached over 7hrs with hox on jb but that was with alot of tweeking and literally every smart option off on 20% brigness ) anyhow battery life goes to S3 , avarage 1 hour 1:30 more then hox , as for deep sleep hox is better thx to companion core. (battery saver core the 5th core )

STOCK user experience = S3 has much better apps then HoX , S-voice , multie view, more options overall then HoX. so this one goes for S3 ( tho you can pretty much add any of these with 3rd party apps )

Speed in system = no doubt S3 wins here , mainly because touch wizz is MUCH lighter launcher then Sense , although sense looks better and prettier much more then touch wizz , on the other test we did for speed was i've installed some ported touch wizz launcher and there were no difference both phones were equally faster.

Web browsing = this one goes to HoX , after jelly bean update hox became different phone , every aspect of the phone improved alot, browsing , benchmarks screen got brighter and sharper , sound got louder and many other things, as well speed improved overall alot, for those who belive in quadrant hox was avarage getting 6800 quadrant on stock and 7000-7100 custom rom. while S3 was getting avarage 6k 6200 custom. - heres the link with stock jb benchmarks of hox after 1st jb update, this are a little bit different and faster now on hox http://www.gsmarena.com/jelly_bean_update_for_htc_one_x_boosts_performance-news-5010.php

GAMING = gameloft games did work better on S3 but they did look better at some point on hox thx to better screen but still in stock comparison S3 won in this part of gaming and overall , when using tegra games obviously hox won, tegra games have much more details then any other games ATM. Tho when we tested hox vs s3 with custom kernel (gpu and cpu/gpu clocks also gouvernor settings fixed) hox outperformed S3 , Belive it or not Hox has better and faster hardware but thx to sense and CPU- GPU frequenciess scalling and governor settings HOX is not capable of showing his true power. So i would call it EVEN in gaming since hox can outperform S3 in gameloft games only with custom kernel , but stock vs stock s3 has won. ( btw note this gaming on custom kernel were tested on HoX+ kernel unofficial , we still need the source for JB kernel on Hox , after that everything should be better on hox )

Music and speaker = Music , no doubt hox provides better music sound and louder alot thx to Beats audia (with beats audio mods this gets 50% better then stock ) as for speaker loudness = S3 , s3 has no doubt louder speaker then hox and i would say with less disortation then hox.

ROMS customisation , stock vs stock S3 wins hands down, but when we took it on custom HoX won , viperX rom for hox simply puts HoX on the next level with customisation, so Custom roms = HoX , also CM / aosp / aokp roms are better optimised on hox then S3 since sammy refused to give you guys the source.

So finall words from me and this comparison = It's literally all to personal preference. Both phones have great features, read this and think about what things out of this are important for you and your usage. my suggestion is = if you care about battery life you should stick with s3.

Anyway i hope i've helped with this to other who are also thinking about this and i hope i've helped to OP , if by any chance i've forgot something excuse me , this was fast typing since im in a rush atm, anyway good luck choosing what is better for you.

Edit - forgot to add camera lol, anyway overall s3 wins here as well , front facing camera and rear camera are better on hox, only thing hox did better in this matter was pictures in dark , makes less noise then s3.