There are lots of alternatives for Jenkins as a CI builder but I haven't found many for Jenkins as a web-based cron with a nice UI that keeps track of history, has tons of options for notifications on failures, and quickly allows re-building (even with user-supplied parameters!)

We use Jenkins for running backup jobs, periodically updating data, and building quick little jobs for support staff to run--infrequently enough that they don't warrant adding to our admin app but frequently enough that bothering at developer adds up.