Don't forget general anesthesia.

I found modified tubeless anesthesia, so I guess there's also tubeless.

I also found:
retrobulbar blocks
Topical Anesthesia
continuous anesthesia
discontinuous anesthesia
Monitored Anesthesia

I read that "Medicare's definition of anesthesia service includes
general, spinal or epidural, regional, topical, and monitored
anesthesia care (MAC)."

There are also the following categories of anesthesia services that
are:

Performed personally by the anesthesiologist

Medically directed by a physician for more than 4 concurrent procedures

Medically directed by a physician; up to 4 concurrent procedures

Medically directed by 1 certified registered nurse anesthetist (CRNA)
by physician [not sure that makes sense]

Furnished by the medically directed CRNA

Supervised by the surgeon

I got most of this information from an article titled Reimbursement
Billing for Anesthesia in the Ophthalmic Practice, in Administrative
Eyecare, Volume 14, Number 1. As far as I know, it's only available in
Google's cache at
http://64.233.161.104/search?q=cache:_Fl9A-SqoekJ:asoa.org////members/AEfulltext
/full_AE141_articles.cfm+%22accepted+methods+of+administering+anesthesia.+Medica
re%27s+definition+of+anesthesia+service+includes+general%22&hl=en