1) Shopping. For a few extra bucks, most large grocery stores will deliver.
2) Laundry. Pay a service to pick up / clean / drop off your clothes.
3) Travel. For long distances, fly first class (far more comfortable), or charter a plane (no TSA experience!). For in-city, take a cab.
4) Dining. Not in the mood to cook? Eat out whenever you want.
5) Taxes. Pay someone else.
6) Housecleaning. Hire a service.
7) If you want to get marginally obnoxious about it...never wait in line again. Just carry a big wad of cash and, if you find yourself stuck at the back of a long line, go to each person in turn and say: "I'll give you $50 (or whatever) for your place in line."
Then of course there are opportunities that aren't available until you have FU money:
1) Travel. A lot. To exotic places that you could not otherwise afford.
2) Invest your money better. Many financial instruments (e.g. hedge funds) are available only to rich people; normal folks cannot invest in them, which means they cannot achieve the same level of returns. This is one of the reasons the rich / poor gap keeps increasing.
3) Live in whatever neighborhood you want.
4) If you have really serious FU money, pay your local telecom to sling an OC-3 line into your house, even if it means paying off the city to dig up the street.