It would take too long to write out specifics, but perhaps a brief sketch. The first happened when I was ten-years-old, and had to do with praying for souls in purgatory. Years later, I shared this story with middle school students in a Continuing Catholic Education class. My aide was a newly converted Catholic and she later confided to me she still wasn't sure about Catholic teaching on purgatory. Because of my story, she took action...and had her own experience.
The second was when I became involved in a parish retreat for women, intending to be background support. I had an insistent "call" that I was to give one of the presentations as a particular experience of mine was needed--and which I stubbornly refused to do. None-the-less present I did. One woman in particular was in tears, telling me it was exactly what she needed to hear. I still have the small picture she painted for me.
Third, one day I was in church for Mass at a time different than I usually attended. God told me he wanted me to give the woman sitting on the opposite side of the aisle several pews in front of me a message. Being my usual cooperative self, I responded, "Tell her yourself. If you can tell me, you can tell her." He insisted and I said, okay, but I need a sign. If I am going to give a strange lady a message from you, I've got to be more than certain. Have her remove her hat before she goes to communion." (The last thing a woman wearing a hat to church would be to remove it before going to communion.) But wouldn't you know it...on her way to communion she suddenly took off her hat and plopped it on the head of the little girl following her. So...after Mass I approached her and said, "This is going to sound strange, but while I was praying before Mass, God said I should tell you that you should go." She was first amazed and then delighted. She told me she had been praying for weeks whether or not she should go (I've forgotten where). Her relief that she now had her mind made up was palpable.
I've never had an experience that was morally or theologically incompatible. What it? Considering how hard it is to go up to a strange woman and tell her God said she should go, I would guess that if it were something morally or theologically incompatible, I would put my foot down. I still wonder why God couldn't have just told the lady himself. Inscrutable. Unsearchable.