ZOS, please confirm you are aware of this and working on a solution! Myself and several friends have /bug reported these issues, however it doesn't seem we have an official word yet that there's a solution in the works.
Problem 1: Using bow will randomly break enemy health bars.
http://www.youtube.com/watch?v=YGO6MJJ5yUc
After the first bugged hit with a bow (Snipe and morphs seems to do this most), ANY subsequent damage will not properly update. Even swapping to your other weapon, it is impossible to tell how much health the enemy has left. Even when dead, they will often show a grey bar with 2/3 health remaining.
This makes bow essentially unusable on boss/elites, and if it happens against other players, I can't even imagine what this would do to PVP.
Problem 2: Weapon swap/gear change bugs visuals/animations.
http://www.youtube.com/watch?v=vyHDcEpL1JsTo see this all you have to do is stand there and swap weapons repeatedly 3-5 times. You intended to make it faster, but if the "fix" is going to cause this I would rather have the .3 seconds it saves back!
This one is causing all sorts of problems as well, with no real pattern other than things just get wonky. For example, while weapon swapping in stealth, one weapon will often become locked, at which point you are unable to change your current active weapon with any other in your inventory. (You can change the inactive weapon.) Weapon swapping will then not work properly until you exit stealth.
Also, any spell effect on weapons isn't working correctly. Evil Hunter from Fighter's Guild cast on bow will detach from the weapon and stay there floating in the world if you switch to daggers, and then swapping back you will have the dagger effect stuck to your bow!
Also, gear often gets visually "stuck," so that if I change clothes I will randomly still be wearing the previous set even if I have sold it or put it in the bank. Or weapon swapping to daggers will cause me to swing my bow around with dagger abilities and vice versa. Only relogging appears to fix any of these problems.
EDIT: Mounting seems to fix the visual weapon bug, but NOT the bow bug.
The first bug in particular with the bow I consider to be a game breaking bug. it would be very nice to see a confirmation you are aware of it and working to resolve this and the other issues I and others have mentioned.
Everything else looks great so far!