As far as race-based stats, I'll repeat another old suggestion. First one is to have them increase much more slowly, much like I'd also want skills to be. Instead of level-up modifiers stats are increased directly by skill use; use a Strength-based skill, watch your Strength go up. Each stat would have some invisible modifers that effect how quickly it raises. The higher it goes, the lower those modifers get. This is in addition to standard "the higher it is, the more slowly it raises." The level of all your relevant skills increases those modifiers. For example, if you only use one Strength skill, it will go up, but very gradually. If you split your effort between several, it will be faster. That way it doesn't force people to train various skills just to increase a stat, but if they want to pump it they'll generally need to focus on the whole area.
Races would not have higher/lower set maximums, but would have different modifiers. An orc would potentially have the same starting strength, but theirs increases faster. If an orc and bosmer have the exact same starting skills and stats, and train the same skills, the orc will have higher strength. The bosmer is still capable of reaching high scores, but more slowly. If you're attacked by an orc you'll still think "uh oh, he's probably strong" without angering people with caps.
It worked in Fable (am I allowed to use that word?)
You still have to say HOW it might work in TES, though. Just saying "it worked in ____" doesn't really apply because they're completely different games. Fable was entirely
based around the idea of your character changing. It also leaned heavily on very distinct, basic good vs evil concepts, things I (and many others) want to stay out of TES. If you did bad things in Fable, you grew horns and got glowing eyes, etc, because "evil" was a tangible corrupting force and not a conceptual opinion. You also had no control at all over base appearance; you started with the same guy, then covered him with clothes and had your actions change appearance. Just copy-pasted into TES really wouldn't work at all. For one thing, I do not at all want to spend a long time getting how I want my character to look just right, then step outside and have it immediately altered forever by forces out of my control (you can't increase physical stats and stay slim in Fable, there's simply no choice). I'd much rather they leave your chosen appearance hard-set, and then give some in-game options to change it if you
want to, like barbers and such.