It's mainly verbs dealing with preference, perception and knowledge. For example: like, prefer, see, hear, smell, taste, know, understand, feel, believe. These are not generally used in the progressive tenses because they describe STATES as opposed to actions. For this reason they are sometimes called stative verbs. The progressive tenses are used to describe actions ( e.g. I am playing, eating, dancing) rather than states. 'To know' is a state. You either know something or you don't - this isn't an activity, so you can't say 'I am knowing'. But - and this is a big 'but' - there are many situations where some of these verbs do describe an activity. In these cases you can use them in the progressive tenses. For example: I love Brazilian music = This is a constant fact, so you can only use the simple form I'm loving my new phone = This means I'm enjoying using it (at the moment), so you can use the progressive form Sometimes it depends whether the verb is used in an intransitive or transitive sense: This coffee tastes bitter = A fact, so you can only use the simple form I'm tasting these cheeses to see which one I like best = An activity, so you can use the progressive form

If I am understanding correctly, the following rule would apply. It is important to remember that Non-Continuous Verbs cannot be used in any continuous tenses. Also, certain non-continuous meanings for Mixed Verbs cannot be used in continuous tenses. Instead of using Present Continuous with these verbs, you must use Simple Present. Examples: She is loving this chocolate ice cream. Not Correct She loves this chocolate ice cream. Correct

If there are any, I certainly cannot think of them. Present progressive indicates action going on now that is a continuing action. For example, I am writing. I cannot think of any verb that cannot be used. I don't think there is any grammar rule that would exclude any. The only limitation would be if the sentence didn't make sense because of a particular verb, but as I said, I can't think of any.