I was stuck watching Dora with my little cousins before I had a kid of my own; here's how my aunt, my mom and I make it through an episode:
-Flat-out refuse to help her when she asks. This is obviously only fun until the kids are old enough to think you're mean, or that the baby bug is going to die because you wouldn't throw the friggin' rope. Then you have to do it out of ear shot.
-Mercilessly Mock Map. Pretend your head is exploding by the fourth time he repeats himself. Also After the long, repetitive, "I'm the map, I'm the map, I'm the map, I'm the map..." song, ask (very loudly) "WHO are you, again? I didn't catch your name..."
-Privately speculate on what Dora will be keeping in her backpack in later years. "Do you need... a life raft... acne cream... pepper spray... or a tampon?!!"
-Wonder (again, quietly) what the heck Dora's taking that causes her to only blink every 10 seconds.
Obviously this is the least mature way to get through Dora, but we laugh our asses off. And our sanity ramains relatively intact.
I'm going to hell, aren't I?