I feel its a matter of...perspective. I don't "Ban" anything...because certain things to do not exist in the game world in the first place. They aren't there...I don't have to say they "aren't there." If you want to say "It's in the PHB its LAW!!!" then, I suppose, I do "ban" things.
Dragonborn, Tieflings, Shardminds, Wilden (those were the plant people right?), "Fey-stepping Eladrin", any setting specific races, including but not limited to: kender, warforged, thri-kreen, half-giants, et al. do not exist in the game world. Hence, they are not up for grabs for PCs.
Minotaurs & Drow are evil-by-nature creatures. Most goblinoids as well (though I would likely allow a hobgoblin or goblin PC. No one's ever asked). My world's version of "Grey Elves", whether or not you want to equate that to "Eladrin" (I wouldn't but some might). None of these, though they exist in the world, are available for PCs.
Setting specific or other game system classes are not permitted. No artificers. No [PF] summoners. No [PF] cavaliers...etc...Pretty much anything that is considered a "prestige class" is out. I don't know what books they're from or if they're prestige classes or what, but no duskblades, soulknives, the dozen different "guys with magic and swords" n' all that business.
Barbarians are a human culture and class in my game world. Your halfling with anger management issues is not/and will not be a "Barbarian" class in my games.
...and Halflings have bushy-topped hairy feet/don't wear shoes.
As a player, you have...liberally, about a dozen or so races, including 6-8 cultures of human...a dozen to 15 or so sanctioned classes (more if you want to count each arcane specialist as a separate class)...if you can't make a PC you want to play out of those combinations...shrug. Because something is in a PHB does not make it any more "mandatory" than in a DMG or MM or any further supplement.