Juuuust came here to post this, as I've been discussing this with some friends. (Found on Hacker News.)
A Roomba was immediately proposed. This "finding" could be construed as anti-mustachian if you try, but I'd argue that, overall, reduction of spending so that you achieve FI buys you a huge amount of time. Alternatively, I couldn't think of anything outside of work that was burdensome enough that I really wanted to "buy my way out of it." Of course, things like a drill (electric screwdriver!) save you time on projects at home, enabling you to save money and take on projects that would be less feasible without it. So it seems like a reasonable example. I have a hard time thinking of other time-saving devices, but a few "everyday" items come to mind: washing machine/dryer, dishwasher, microwave. Oh, and car ;)