As of 2/27/13, these are all of the restaurants that I know of , in New York City, which offer a substantial raw vegan menu selection. The restaurants are listed alphabetically.
I have visited all of these restaurants personally. I like them all. Caravan of Dreams is popular, and is handy if you are going out with non-raw vegans who are not adventurous. Pure Food & Wine is very pricey, and has very fabulous food, a nice dining room inside and a very glamorous outdoor dining space (I will go there again when I find someone to pay for the dinner). Quintessence is a lovely, intimate little place with delicious selections. Rockin Raw is has recently opened shop in Manhattan. At the Brooklyn location, I was very impressed with their food selections, as well as the charming interior and very pleasant outdoor dining garden. The latest addition to the list of raw restaurants in the city is Rawlicious. The location is fairly convenient (walk about 6 blocks from the Canal Street R train station) and the decor is impressive.
CARAVAN OF DREAMS (some raw, some not)
405 E. 6th St (cross st: 1st Ave)
Manhattan
212-254-1613
Bus: M8,M9,M15
train: F,V to 1st Ave.
Mon-Fri 11am-11pm
Sat 11am-12am
Sun 11am-11pm
PURE FOOD & WINE (all raw, upscale)
54 Irving Pl. (btw 17th & 18th Sts)
Manhattan
212-477-1010
Bus: M1,M2,M3
Train: 4,5,6,N,Q,R,W,L to 14th St.-Union Square
Daily 5:30pm-10:30pm
QUINTESSENCE (all raw)
263 E. 10th St. (btw 1st Ave. & Ave. A)
Manhattan
646-654-1823
Bus: M15
Train: L to 1st Ave.
ROCKIN RAW (all raw)
178 N. 8th St.
Brooklyn
718-599-9333
L to Bedford Ave., exit N 7th St and Bedford Ave
Tue-Thu 3pm-9pm
Sat 3pm-10pm
Sun 1pm-9pm
Rockin Raw Manhattan Cafe
171 Sullivan St. Manhattan 10012
phone: 212 477 3777
Thu-Fri 4pm to 10pm
Sat-Sun 2pm to 10pm.
R AWLICIOUS
249 Centre Street, Manhattan
11am to 11pm every day
212 226 5200.
R/N trains to Canal St.
PRETTY SMART RAW FOOD IDEAS 
Hi, I enjoy your site. For those outside of New York, here is a list of raw food restaurants throughout the U.S.!