Drifter is essentially a med-lg to large genoa
(150% or more). It generally has a few hanks (1-4), is made of nylon and is cut a bit fuller than a dacron genoa.
A cruising chute is a normal chute cut with a slight to moderate asymetry and is intended to be tacked to the bow of the boat with a pendant rather than a pole. It is made of nylon, often a heavy 1-1/2 cloth, smaller than a normal sysmetrical spinaker and perhaps a bit flatter.
An asymetrical chute is larger and more asymetrical than a cruising chute. It is often tacked to a bowsprit
or retractible pole. Genaker started out as a proprietary name for an an asymetrical chute and may be more optimized for beam reaching than a normal asym which is optimized for broad reaching and running.
As I understand it a Code Zero
is an asymetrical cut very flat to improve it's ability to point. Often they are built with a high-tech luff rope
to and are set on a furler.
A blast reacher is a drifter cut more for beam reaching than a normal drifter.
A drifter will point the best and probably be the cheapest as it is easiest to construct.
An asym will have the largest area and be the costliest due to the more complex cut. A code zero being the most expensive because of the extra furling hardware
All of these are a lot less work than a regular chute.