An old cartoon that I never knew the name of

Real weird I know, but I watched it years ago when I was young. It was a cartoon that aired on Cartoon Network I'm pretty sure (maybe Nick but I doubt it) and while it wasnt exceptionally creepy, it was weird. I only watched 1 episode while I was home from school one day, so it was on probably around 12ish, and roughly around the early/mid 2000s (Think 2003-2005). I remember a large rabbit in it that was pretty weird, he might have been telling stories that the show would then play, I remember one of them for sure was about a dog playing fetch and he would keep bringing back larger sticks until eventually using a crane to bring back a tree. I also slightly remember one about maybe a doll that was found in the attic but was cursed or possessed or something? It was a real weird show and was nothing like the other stuff they played around that time frame considering it was mostly meant to be for real young kids that weren't old enough for school yet, and had a more realistic animation than most shows at the time had, but like in a Max and Ruby kind of way (Also based off fuzzy memory). Absolutely any help is much appreciated!