I detest handwashing dishes, the detergents cause dermatitis on my hands. Rubber or neoprene gloves don't help much either.
I like the squeaky cleanability of the machines, and I love the way the glassware, cutlery and china sparkle in the sunlight. My Sister-in-Law's sister likes the way the glasses feel too (non-greasy).
A neighbour has one, but she doesn't like it; she says that there is a film left on her dishes.
I'd say that it is probably one of the most important machines ever invented.