I will give an example; 出る is a verb where its unclear what you use as the particle depending on circumstance. if you are to say something like "Bill appeared on stage." you would use the particle に to however if you say are going to say "after that i left the theater" you would use the particle を to mark the place you are departing from.
I realize alot of verbs its not all that complicated to determine as you can simply determine the appropriate particle for the direct object and then muddle your way through from their. However, in the example above normally you would use a に or で particle to mark a location yet this verb uses を and に and if anything the appear being に makes less sense of the two. For example someone on stage behind the curtain standing still and then opening the curtain, you would still use the particle に even though the person did not actually move.
Their are quite a few exceptions to the norm like my example above probably around 50 of them in total; but i don't have a good resource to look them up. I mostly use jisho.org which does on occasion give example sentences so you can try and glean what to do but i would love a resource i can type 出る into an it would say に (appear) を (exit) etc for the majority of verbs.