I may be the only person on the planet who thinks this is a problem, but it bugs the heck out of me when I take the lid off a pot and need to find a place to set it down. The area close to the stove is likely to be covered with food prep I'm working on, so there's not a whole lot of space for drippy lids. And then when I pick the lid up to put it back on the pot. I have to wipe up the counter. Even if I set it upside down, I end up with drips or condensation.
The Onpot ($9.95) is a one-trick pony, but it's a pretty cool trick. Attach it to the lid with its two suction cups—it's made from silicone, so the heat won't bother it—then instead of removing the lid completely, you can tilt it and rest on the rim of the pot. Any condensation inside the lid drips back into the pot white the lid stays far enough out of the way for stirring, adding ingredients, or just letting things cook uncovered for a while.
For the suction cups to stick tightly, the lid needs to be smooth. I don't know if I'd trust it with a super-heavy lid, like from a cast iron Dutch oven, but it seems sturdy enough for most lids.
It's dishwasher safe, but since it rests outside the pot it shouldn't need much scrubbing, in any case.
Disclaimer: Testing samples were provided to Serious Eats.