Oh no, I love my spider plants. They aren't invasive, just determined. They're low-maintenance. It's easy enough to trim off the trailers if you don't want babies. They fade in full sunshine though, so if you want that lush, tropical greenery, keep them away from the window.
The babies make great little plants to donate to fairs and jumble sales, and they're perfect for children because they don't need much care and won't die if the child forgets to water them.