I'd say 'with' is the most common preposition used in conjuction with 'obsessed', but I wouldn't necessarily call 'about' wrong. Prepositions, especially when dealing with the more 'popular' themes these days, like (food) obsessions, generally allow for multiple prepositions; and being obsessed 'about' food sounds just as normal as 'with'.* Like I could say:
"Please, don't get all obsessed about it!"
In the following context, I could even use ON properly:
"I'm totally obsessing ON cute 'chibi' Anime characters."
It may sound a bit too 'hip' for a person my age, LOL, but no one would deem it wrong, really. Especially American kids use 'on' a lot like that.
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* 'About' has a somewhat different connotation, though. Being obsessed 'about' something tends to denote the general subject at hand, whereas 'with' has a more clinical meaning. Example:
"I'm obsessed about food." = I'm preoccupied with the subject matter food.
"She's obsessed with food" = She's too fixated on the actual consumption of food.
I should haste to say the distinction between the two is all but absolute; it's more that the former tends to lean one way, and the latter the other.