ORC
Robust
Health recovery bonus increased from 10/20/30% to 20/40/60%.
Swift
Replaced with a new passive: Brutal. Increases the damage of light and heavy attacks by 3/6/9%.
Health recovery is probably the weakest stat in the game: no one stacks it, and if you do it doesn't make a lot of difference because 1. you generally have a healer or can self-heal, 2. players in ESO tend to die to burst damage which is not at all mitigated by health recovery, and 3. in PvP the disease condition is rampant which halves health recovery. For this to mean anything it has to be a pretty big number... and I don't even think doubling it is enough, but it's a start.
The Swift passive was always a weird one, the sprinting bonus is almost completely unhelpful in actual combat and the charge bonus was niche and questionable. Needed something more general and also more fitting for the Orcs' reputation as warriors.
REDGUARD
Adrenaline Rush
Now works on all attacks instead of just melee attacks.
I don't really see a good reason why it shouldn't work with ranged attacks, that's unnecessarily restricting.
BOSMER
Stealthy
Now also reduces time required to enter stealth mode by 10/20/30%, increases sneaking speed by 5/10/15%, and reduces sneaking cost by 5/10/15%.
Given that Stealthy is such a niche passive (it pretty much only helps in PvP), it should be damn good at what it does. 10% extra damage from stealth is great but pretty much only comes into play in the opening shot of a gank.
KHAJIIT
Robust
Health recovery bonus increased from 10/20/30% to 20/40/60%.
Stealthy
Now also reduces time required to enter stealth mode by 10/20/30%, increases sneaking speed by 5/10/15%, and reduces sneaking cost by 5/10/15%.
Carnage
Replaced with a new passive: Feline Grace. Reduces fall damage by 50% across all levels, increases weapon and spell crit chance by 2/4/6%.
Robust and Stealthy reasoning as above. Change to Carnage because 1. it's a weird name, 2. reducing fall damage is a nice flavour thing (plus it mirrors Argonians' Amphibious, both being beast races and all), and 3. I don't see why the crit bonus should be for stamina builds only. Given that the other Khajiit passives don't do much in general combat this one better be useful in all situations.
ARGONIAN
Amphibious
No longer restores health, magicka and stamina on imbibing a potion. Now also reduces potion cooldown time by 3/6/9s.
Quick to Mend
Now also increases maximum health by 3/6/9%.
The resource restore on potion drinking was pretty weak. Reducing potion cooldown is much more flexible: you can get far longer uptime for useful but relatively short-lived effects like Invisibility and Immovable, or regain your resources considerably more frequently (and more effectively than the old passive) with restoration potions. It might seem a bit much, but it's an expensive passive to take full advantage of so I think it deserves to be good.
Added a health bonus to Quick to Mend for a total of 12%, which is the same as the Imperial's Tough passive... because Argonians needed some stat boosting love. You might wonder why I didn't say the same for Bosmer and Khajiit, both of which have minimal (or in the case of Khajiit, none) stat bonuses... that's because I thought their special passives (Y'ffre's Endurance and Feline Grace) made up for it, and while I think my suggested change to Amphibious makes it pretty strong as well it does come with a "downside" in that chugging potions on (a shortened) cooldown is expensive.
NORD
Robust
Health recovery bonus increased from 10/20/30% to 20/40/60%.
Rugged
Now also increases maximum health by 3/6/9%.
Robust reasoning as above. Rugged gets the Quick to Mend treatment because again Nords have minimal stat bonuses but unlike Bosmer, Khajiit or Argonian don't have a powerful passive to make up for it. Total health bonus is now 12%, as with Imperial's Tough passive.
IMPERIAL
Red Diamond
Now works on all attacks instead of just melee attacks. Chance to proc increased from 10% to 100%, but can occur no more than once every 3s.
Same idea as with Redguard's Adrenaline Rush. Also made it work similarly to Adrenaline Rush because I don't like too much dice rolling.