While this is not a beginner-level build, until recently it was impossible to build a true analog delay for any reasonable price.
Scott Swartz has designed around the Chinese-made BL3208 chips that I have been importing, and JD Sleep is offering a ready-to-solder PC board:
http://www.generalguitargadgets.com/v2/index.php?
option=displaypage&Itemid=156&op=page&
SubMenu=
If you have some construction chops, get your soldering iron ready!