Can you enumerate all the times when one must wash his hands 3 times on each hand like negel vasser?
The Shulchan Aruch enumerates them in Siman 4 (18):
Waking up after the night’s sleep; leaving the bathhouse or the toilet (for our toilets this is a safek); cutting nails; taking off shoes (not 100% clear for today’s shoes); washing head (scalp); touching a dead person (some add: one who walks among the dead); marital relations; cleaning for lice; letting blood.
Although these are enumerated by the Shulchan Aruch together with netilas yadayim of waking up, poskim write that it is sufficient to wash hands once. For somebody who walks in a cemetary, some are stringent to wash three times, and some have the custom of washing three times after leaving the bathhouse.