In addition to the following idioms beginning with on one’s
on one’s account
on one’s behalf
on one’s best behavior
on one’s doorstep
on one’s feet
on one’s feet
on one’s good behavior
on one’s guard
on one’s hands
on one’s head
on one’s heels
on one’s high horse
on one’s home ground
on one’s honor
on one’s last legs
on one’s mind
on one’s own
on one’s own account
on one’s own time
on one’s part
on one’s say-so
on one’s shoulders
on one’s soapbox
on one’s tail
on one’s toes
on one’s uppers
on one’s way
, also see under
on someone’s