Your mistake is seeking adjectives that work like this. This is barking up the wrong tree, for it is not the adjective but rather the verb that makes all the difference in these situations.
Take act as in your own example. Here you can set things up so that He’s acting slow contrasts with He’s acting slowly. In the first case, he is behaving as if he himself were a slow person. In the second, it is his acting which is moving along at a retarded pace.
But this is not somehow a function of choosing between slow or slowly, something especially important to understand given that slow can also be an adverb. It is only ever the verb that matters for these distinctions.
You have to decide whether the modifier in the predicate applies to the subject or to the verb. Comparatively speaking, only a slim minority of verbs can work this way. One oft-cited set of these is the sense verbs, such as look, sound, taste, smell, feel.
So a pig that smells good contrasts with a pig that smells well. The first pig has a good smell about him; he is pleasantly fragrant. The second pig, however, has those exceptional powers of olfaction to make him a good truffle-hunter.
So don’t look for adjectives; that’s a red herring that will lead you nowhere sound. You should be looking for verbs.