Well, at least regarding Fire Genasi, there's a wicked-powerful ECL 3 fire genasi wizard (IIRC, maybe sorcerer) in a campaign I'm playing in. My PC is just a simple, true neutral half-orc cleric of Fharlanghn...... Not very potent but a decent substitute frontliner and healer, plus fun to play with his background and stuff...
But the Fire Genasi? Yeeesh. That guy just joined in last week, and is just 1st-level but with a +2 LA, one from race and one from some stupid thing published on the Wizards of the Coast website, somewhere, that gives him 4 (I think) bonus feats for a +1 LA. With those extra feats, he's got stuff like Precocious Apprentice, Spellcasting Prodigy, Bloodline of Fire, Spell Focus, and I think Practiced Spellcaster, among other things, that altogether give him a save DC of 19 or 20 for his Burning Hands spell, and a Spell Compendium spell called Fireburst or somesuch (with that durned Precocious Apprentice feat) that does something like 8d4 or 8d6 fire damage, AS A 1ST-LEVEL WIZARD OF 3RD-LEVEL EQUIVALENT. In an area, IIRC, but I don't have Spell Compendium so I can't check to see if I remember that little detail correctly.

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Of course, he's only got 6 HP, but his AC is something like 19 or 20 I think, from Mage Armor, some Dexterity, and I think something else....
.......Of course, a race shouldn't be considered balanced or unbalanced based solely on what broken feat and/or spell and/or item combinations apply to it....
Anyway, I'd generally agree that the 3.5 Dwarf is too strong for LA+0 compared to the other core races, while Hobgoblins, the various Planetouched races, and others tend to be rather weak with their Level Adjustment. A good LA+0 Dwarf would be Small probably, or just get -2 Dexterity and maybe -2 Reflex I would guess. An LA+1 Dwarf would need at least some more Strength and Constitution (growing more similar to Tolkien's dwarfs I think). Drow are probably fair with their Level Adjustment, possibly just a tad underpowered at worst, but still worth their ECL.
As for planetouched races, and draconic or half-dragon critters.....I'd ask ya to check my tweaked templates for Aasimar, Tieflings, Zenythri, Chaonds, Half-Dragons, and Draconic Descendants (my template for slightly-draconic critters) in my Rhunaria homebrew. I think I beefed them up sufficiently for their +1 LA (or +3 for my Half-Dragon template). For reference, Zenythri are planetouched humans descended from some unknown lawful outsider race in the Monster Manual II, and Chaonds are planetouched humans descended from slaadi or something in the Monster Manual II. My templates apply to more than just humanoids, though. A note though, I run 3.0 rules, so the Native Outsider subtype isn't used in my games, but planetouched races are still considered in my games to be outsiders native to the Material Plane. Also, the caster level of spell-like abilities for my templates is based on total hit dice, which means class levels plus any racial hit dice.
My Planetouched templates
My Dragon-Blooded templates (plus Dragon Disciple and Dragon Adept PrCs)