Here are some examples:
* Nonsense: Meaning something that has no meaning or sense.
* Non-sensical: Meaning lacking sense or logic.
* Nonplussed: Meaning confused or bewildered.
However, you could also argue that the prefixes "in-" and "un-" can be used in similar contexts to indicate lack of sense. For example:
* Incoherent: Meaning lacking sense or clarity.
* Unsound: Meaning lacking logic or rationality.