"She's one of those women who likes football."

"Those women who like football" all by its lonesome sounds OK to me but as quick as you tack that independent clause on there the subject power of "She" rolls over the subject power of "women" and forces the verb "like" into submission, dragging it back, kicking and screaming, into the singular. The verb power of "'s" is not enough to satisfy the internal grammar checker; the singularity of "She" must be appeased.