Dick, do you mean standing or running rigging? I don't think anyone uses Amsteel to keep the spar standing upright. I do have perhaps the most Amsteel on a Westsail of anyone so far, but none is for standing the mast. There are currently two types of Amsteel on my boat; ones without chafe sleeve, and ones that are essentially replacing yacht braid. I'll try to list as many Amsteel parts as possible and their purpose. Double braid refers to amsteel with chafe sleeve.
Running backstays + double braid control lines
Topping Lift + double braid control line
double braid reefing lines
staysail tack pennant
storm jib tack pennant
trysail tack, double braid line
spinnaker tack, double braid line led aft along stanchions
lazy jacks
lifelines
bowsprit snatch block strop soft shackle with chafe sleeve (for chain snubber line)
soft shackle chain snubber line to anchor chain
soft shackles for jibsail top and bottom attachment to furler
soft shackles for securing anchors to bowsprit
soft shackle for outhaul attachment to mainsail clew
internal outhaul from clew to block (control line is yacht braid)
soft shackle for jib halyard to furler top attachment
soft shackle for jin sheet to clew attachment
soft shackle for every hawse pipe as anchor points for preventer, spinnaker sheet blocks, trysail sheet blocks
soft shackles around wooden boomkin support posts as safety anchors in cockpit
Here is a photo of some of the Amsteel in use on the bow
The only other Amsteel I will be using is for halyards and a tow line for the dinghy. I may also make a mooring ball pennant with some kind of snubber system. I've learned that a yacht braid, dock line is not chafe resistant enough for galvanized rings. I may even setup my dock lines for the very same reason.
Anyways, I hope this helps.