Ohhhhh yeah. Recently I asked God to supernaturally help me in my chemistry exam for college (literally walked in the door without any knowlege of chemistry, never had a class in my life) and I took the exam knowing i messed up on at least half of it. Upset I said "Lord its in your hands" and a couple days later I got the test back. It was an 81 out of 100. I still have no idea how that happened. Ahhh the joy of trusting in a perfect God.
lol! the jury's out on that one.

but seriously I pray for a great many things in my daily life. Part of what makes God so great is not that he is so high above us he ignores us but that he is so powerful he can attend to our every need. Honestly, I pray for so many things I find it hard to keep track of them all and so would find it difficult to keep a record of answered and unanswered prayer.
I prayed for a cat once that had a debilitating and degenerating limp not caused by injury but by genetics (as far as I could observe). Before, it would just fall down from standing. We were thinking about putting it to sleep. But it healed so well without us doing anything that it was soon running about and jumping.
I prayed for my half-brother's dad to come back to him. Several months later he showed up out of the blue. We found out that he had been several states away and had hitch-hiked, gotten jobs, road bicycles and finally just walked over to where we lived. He went around the neighborhood, knocking on doors, asking where his son was (because we had moved since the last time he saw him). He could be annoying at times

, but they were reunited and had a good time together.
I wasn't baptized yet and it was summer. I got into a few-day discussion with a man over the internet about the significance and meaning of baptism. Although he thought baptism was necessary for salvation and I did not, I still thought I should get baptized. I just didn't know how I could get baptized. I
wasn't going to go up and right-out ask a preacher to baptize me. The next time I went to church I heard the preacher talking about a baptism ceremony they were going to have. I was a bit apprehensive to go, being an introvert at the time, and I didn't think that there was much chance that it would be a local event since it was going to be out in the wilderness somewhere by a river. It turns out that the ceremony was being held by the river a 5 minute walk from my house at the time (the church was 6-7 miles away). I got dressed in shorts, attended, gave my testimony and got baptized. Oh, and I believe I prayed on this one as well... Didn't want to leave you hanging.
These are the only ones I can readily call to mind, but I'm almost positive there are others clinking around up there somewhere.