Brownies, noodles, steak, seafood.
Soft or tender seems to win over chewy (considered tough), even if it means hours of simmering, say, abalone, to get that stubborn chewiness out.
Then there are foods which are noted for their chewiness - rice cakes, meat jerky, taffy, snacks accompanying Asian salarymen's strong drinks, and yes, abalone.
They are more than tolerated - they are celebrated by some people. Do you hate or like chewy? Can you think of specific examples?