You are right; I probably could have thought of a better example, but the oil-change seemed to apply to more people.
Personally, I'd say I've saved a lot of money learning to fix a sprinkler, replace a ceiling fan, unclog a drain, fix a leaking faucet/pipe, painting the interior of a house, etc - more of the homeowner DIY than the car owner. The equipment needed for these is usually less than the cost of hiring a professional to do them.
These are all things I wish I felt more comfortable doing. When I buy a home, I plan on getting better at all of these, and investing in doing them with my kids while they're young. I'll always remember how much money my most handy friends saved in college while always having the nicest apartments.
Personally, I'd say I've saved a lot of money learning to fix a sprinkler, replace a ceiling fan, unclog a drain, fix a leaking faucet/pipe, painting the interior of a house, etc - more of the homeowner DIY than the car owner. The equipment needed for these is usually less than the cost of hiring a professional to do them.