The issue you have mentioned with the analogue sticks is not something I have come across before. If this is occurring on the console it would indicate there is an issue with the unit (either the stick calibration or something else has caused this problem).
I can think why this would appear on the Vita after a period of time however? i.e. 30 minutes of play for instance. 
Level 3
I posted a more detailed explanation of my experiences somewhere else and I've pasted it below for you. It's certainly something that got gradually worse for me and seems like the dead zone on the sticks is too small...
From another forum:
"So I've played my Vita quite a lot now I'm getting the bus but it's mostly been Lumines and Rayman Origins (as they suit the bus much better than shooters!) but a couple of weeks ago i got the train down to london so cracked open Uncharted... There was a very unexpected issue!
When playing for more than a few minutes the aim would start drifting off in one direction, so Drake would keep looking to the right all the time, very slowly, or sometimes it seemed fine but you couldn't aim/look to the right very fast, no where near as fast as looking left.
More than a little annoying!
At first I assumed it was probably just Uncharted GA not calibrating the sticks right sometimes but I couldn't think of another game I had that used the right stick. Then it started happening with the left stick as well. Drake would start walking off back and to the right.
Loaded up Motorstorm and found i couldn't turn right properly (it would do a very shallow, lame right turn but not a tight one). So that meant it's not the game it's the system.
On rebooting the system the problem would sometimes go away (and then come back after anywhere between 5 minutes and an hour) and sometimes be the same, or just one stick and different directions.
There's a thread on the official Playstation Forums here that's seems to suggest that soft cases just don't protect the sticks enough and that they might get knocked off centre and stick that way.
So the point of this thread - sit down and play Uncharted Golden Abyss for an hour or two and pay attention to the speed of the aiming and the speed of walking. Then consider getting a hard case instead of a soft and squishy one!
Final lesson - always buy from amazon.co.uk as all it took was one 30 second phone call (which they phoned me on) and there was a replacement in the post, really fantastic service!"
Level 3
moutkill3r wrote:I have the same problem. During gameplay the calibration for one or both of the sticks jumps off centre. When playing unit 13 this results in the reticule drifting to the right, for example. The sticks will stay at this callibration until the until is power cycled.
This is NOT a hardware problem but is in fact a software bug which occurs when the vita tries to get online in the background whilst you play. Since putting the vita into flight mode the problem has not occured and I have also noticed a significant improvement to battery life.
I'm not sure if the issue is related to wifi or cellular. Could well be a problem with connecting to vodafone as I have not tried other sims. Renders the whole connectivity function inoperable though which is a shame.
You could be right however this problem has not reoccured on my replacement Vita...
Hi guys,
One of you asserts this may be a software related issue rather than hardware.
I would say this is more likely to be hardware related however, as if it was software there would be many more users affected. Having said that if you do have this calibration problem, it might be worth checking you have the latest system software update for the Vita and attempting to restore default settings. Failing that I would give support a call to help further.
Rabid
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