PMI has a rope they've manufactured since the 70's, they call it their classic pit rope, an 11mm kernmantle as described above. At 68 cents a foot, it is a bargain here at karstsports,
http://store.karstsports.com/pmi716claspi.html . Sampson also has a 13mm static kernmantle, carried by Sherrill at just over a buck a foot. Another decent choice would be a 15 mm (9/16") Samson stable braid from Sherrill at about a dollar a foot. In my opinion, anything over 1/2" you're fighting bulk and weight.
The following I've personally never used, but would likely be similar performing choices:
Wall Rope suggests their 12-strand UltraMAX they recommend for slideline work.
New England has a 10,000 avg breaking strength, half inch kernmantle line they call KMIII They have another low-stretch double braid called PCR, 1/2" 11,000 lb avg breaking strength. I have no direct experience with either.
If you want to get more pricey, Samson has a synthetic 12-strand rope they use as winchline on jeeps and commercial marine tugboat lines (it floats). It is the same fiber as our beloved ZingIt, available in all diameters from light Zing-it (1.75 mm) up through 96 mm (4"). The line is called Amsteel, a 12-strand, and Amsteel II which is amsteel with a braided sheath, making it, technically, a double braid. The 1/2" Amsteel line sports an amazing 27,500 avg breaking strength, which is why it's so expensive. I was asking Samson last November why they didn't offer the 11 mm or 1/2" Amsteel as a climbing line. I soon learned it would price itself out of our market, as well as compete with their own 11 mm Velocity. I'll probably get an 11 mm and throw down the excessive cash just to climb on something 'exotic'. This rope holds some kind of mystique over me. I believe, but don't quote me, that Sherrill's black widow 1/4" tag line is Amsteel.
The two ways to go about ziplining is either 1) with the use of a pully or 2) No pully, just clip the caribiner'd sling to the line. Then you are either going to use a control line to control the speed with which it goes down, or you just cut and let er rip. I use a control line only when there is potential of whacking a roof or structure.
Ziplining is quite entertaining, but generally slow (except for the zip part). It's a rigging exercise so there's rig, re-rig, and unrig and tesioning the line. It is a 2-man operation.