I have a couple of entries in my fstab file, which automatically mounts other filesystems on start-up, but what I need to know is how to have them automatically umount on shutdown/reboot.

I have always had problems with having to run fsck every now and again, but as I have not had to reboot very often, this has generally not been too much of an issue, but as I am playing around with another distro' and compiling kernels etc, I am now rebooting quite often, and noticing that one or more of my filesystems are not being unmounted, well at least I don't think they are.

All help appreciated...

Some dists have problems, with umounting the swap partition!
I have solved the problem by placing a shell-script in /etc/init.d/umount.sh

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#! /bin/sh
PATH=/sbin:/bin:/usr/sbin:/usr/bin

case "`uname -r`" in
1.*|2.[01].*) FORCE="" ;;
*) FORCE="-f" ;;
esac

umount -ttmpfs $FORCE -a -r

echo -n "Deactivating swap... "
swapoff -a
echo "done."

# We leave /proc mounted.
echo -n "Unmounting local filesystems... "
umount -tnoproc $FORCE -a -r
echo "done."

mount -n -o remount,ro /

: exit 0

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Hope this solved you problem!