I've tried both Avon's and L'oreal's 2-step peels, and I have to say I prefer Avon. I felt and noticed it working after just a couple of uses, whereas with L'oreal I don't really see any difference. Though, with your sensitive skin I'd test on a small area first, to make sure nothing happens.
As for glycolic peels in higher concentrations for someone with ethnic skin, I'd be wary. I'd go with lactic or mandelic acid instead. Lactic is less irritating than glycolic, better for sensitive skin, and I read somewhere on this board that it's more effective than GA at getting rid of discoloration.
Of course, there are tons of products with low concentrations of GA that you can still try out, just check on dermstore.com or skincarerx.com. Don't get washes/cleansers - waste of money in my opinion since they don't stay on your skin long enough to do anything. Toners and treatments/lotions/serums are your best bet.
Personally, I want to try MaMa Lotion. It contains mandelic and malic acid, and I've read that it works really well for darker skin tones.
Good luck!