Got any ideas what I can do with a servo? --Singular
Not the ones from the examples because I already did those.
Have it flip a light switch up & down at random intervals when you're not home so it looks like you are.
Make a useless machine.
small or large ?
if your TV is on a lasy susan, you can make an IR receptor to receive some un-used button on your remote to move the TV a little to one side or the other.
connected to a rotary switch, you could have your ceiling fan go low or high.
open a window
water a plant. little bucket, dip and dump.....