The popular example is if someone intends to do something and gets so nervous that it happens even without an act being committed (intends to refuse an invitation by his boss, gets so nervous that he falls asleep and misses the party). Are these actions and intentions in their classical senses? There is room for doubt.
Davidson narrows down the demands. To him, "thinking causes" (causally efficient propositional attitudes) are nothing but causal relations between events with the right application of mental predicates which ascribe propositional attitudes supervening the right application of physical predicates. This approach omits intention altogether, not to mention the ascription of desire and belief.