Well, here's the menu in order from left to right when you get into a cab
fair
strangers and freaks
grove street garage
hangar
ammu-nation
pitchers
movie theatre
darts
flight school
off road truck race
strip club
triathlon
street race
barber shop
los santos customs
vehicle impound
suburban
tattoo parlor
However, here's how I do it. There's not enough choices for my taste in the taxi menu. Press start and press the first option which is the map. Now, here's what's interesting. Navigating up and down using the DPad, select the destination you want to go to. Press the confirm button to set the waypoint, get into a cab, then the first option you have is where you want to go. Here's the list
Player (your current location)
towing
triathlon
tattoo parler 6
suburban 4
sub
stunt plain time trial
strip club
street race 5
vehicle impound
sstock car race
sea race 4
safe house
puerto del sol marina
vespucci helipad
ponson bys 3
vespucci movie masks
personal vehicle
parachute jump 13
off road truck race 2
off road moto/ATV race 4
movie theatre 3
los santos international angar
los santos customs 4
grove street garage
golf
flight school
fair ground ride 2
discount store 5
darts
chop
car wash 2
cable car 2
binco clothing 2
beeker's garage
barber shop 7
ammu-nation with range 2
ammu-nation 9