Well, in the current D&D campaign I’m playing in, my character is a fallen Ghaele. For those of you who don’t know what a Ghaele is, it’s basically a type of celestial - effectively an angel. For those of you who do know what a Ghaele is, that is indeed as overpowered as it sounds. (The GM and I didn’t realise how badly overpowered until it was too late I’m afraid).
Anyway, he’s not evil. He’s just a bit… whimsical. Unsurprisingly he’s chaotic neutral. He’s also a fairly bright fellow, and rather prone to lateral thinking. This, combined with the fact that the campaign is a slightly strange one anyway, has led to some peculiar situations.
The first sign that the party had acquired a serious nut came with the following plan.
We encountered a portal to some endless desert place. It seemed relatively uninteresting at first - you could walk through, and you ended up near a big black tower. There was a slightly odd tugging sensation, but it didn’t seem to do anything much.
If you stayed on the other side of the portal for more than a few rounds, you were cut off from it - you could no longer see the tower or use the portal. Other people could come through the portal, and you could interact with them without a problem, and they could still see the portal. This was discovered by a stone giant member of the party, who happened to be carrying all our stuff… We were a bit upset by this.
Fortunately I came up with the following solution. We shrink the stone giant and put him in my backpack. Seems perfectly logical.
Specifically we had a cursed item - the hat of reducing - which causes you to shrink fairly rapidly while you’re wearing it (it can be removed without a problem, so it’s not too dangerous), and my backpack was a Heward’s Handy Haversack, so an extra dimensional pocket. So we shrunk him, put him in the backpack and brought him back through. Problem solved.
The hat was intended as a random joke item, but I’ve come up with a rather large number of uses for it.
Later we happened to encounter something called a swirling curse wall - it was basically an odd looking magic wall that fired wild magic effects at you if you did anything to it. Our party thief first found this out, but escaped relatively unharmed. Then a cleric in our party (Adiuvus) said something to the effect of “I think that it would be unwise to do anything further to this wall” and proceded to demonstrate this. He found himself surrounded by a wall of stone and rapidly running out of air. After some unsuccesful bashing at it, some of us wondered about getting the swirling curse wall to affect it. One party member fired a crossbow bolt at the wall, and was turned into a giant ant for her troubles, while I bounced a chain lightning off the wall of stone into the curse wall, getting the wall solidly hit by wild magic.
At this point the GM rolls a couple of dice on his wild magic table. He looks surprised, then laughs evilly.
“Ok. A jet of magic shoots out from the curse wall, hitting the wall surrounding Adiuvus. It turns into a blue dragon.”
This blue dragon was of course sitting on top of Adiuvus. It was also rather upset at having randomly appeared in this small room.
Adiuvus managed to persuade it to get off of him. It then glared at us and demanded to know what had happened and why it was here. After some explanation it wanted us to help it get out of this place. At the time, I was the only one with the key to get us out (we had come through a rather odd portal), and I wasn’t entirely keen on leaving people here because they had no way of getting back. Plus, my character isn’t very inclined to give in to threats. So he stands there, back chatting to the blue dragon. The dragon is getting more and more irate at this stage, and eventually when I say I flat out won’t take it anywhere without the rest of the party, it takes a deep breath and breathes out a huge bolt of lightning at my character.
Ghaele are immune to electrical damage.
Me: “Now, see. That wasn’t polite.”
Enter combat, in which we turn the dragon into steak. (Which the party quite happily breakfasted on the next morning). The Giant Ant was quite an asset for this. 
Unfortunately I failed the intimidate roll at the time, but I chuckled for quite a bit at the mental picture of the dragon’s face after that initial attack.
Then there was the time I broke up a crowd using a flower breathing dragon, but that’s another story.