Nuts - Multi-tasking backup utility, with extra support for RiscStation users. - http://www.imagesoft.co.uk/nuts.html
BackIt - Easy to use program designed to back up your valuable programs or data to another drive or directory. - http://www.quantumsoft.co.uk/backit.stm
SyncDiscs - Synchronise the contents of two discs or directories. Also available for Windows. - http://pilling.users.netlink.co.uk/syncdiscs.html
HardBack - A hard disc backup utility which allows you to protect your data from unforeseen events. - http://www.chiark.greenend.org.uk/~theom/riscos/hardback/
DateCopy - Copies all files created or modified after a given date to a new directory, which can then be backed up. - http://www.ee.ed.ac.uk/~pmh/ART/Date.html