Jason has 83 confirmed kills according to Robert Campbell in JGTH. Alice and Paul possibly aren't accounted for. Because of the "possession" angle of JGTH, I have counted Jason as responsible for the possessed people's deaths, even when other people were forced to kill them.

Jason Voorhees
1 (86) : Coroner - eats Jason's heart and becomes possessed
2 (87) : Coroner's Assistant - Autopsy probe in the back of the neck, face pushed through a metal grating
3 (88) : FBI Agent #1 - pencil through his spinal cord (offscreen)
4 (89) : FBI Agent #2 - fingers through his skull (offscreen)
5 (90) : Alexis - slashed up with a straight razor
6 (91) : Deborah - stabbed through the back with a barbed wire spike ripped in half
7 (92) : Luke - head crushed (offscreen)
8 (93) : Edna - head slammed in car door
9 (94) : Josh - possessed by Jason, shot in head and impaled with poker, later melts away
XX (XX) : David - head bashed against faucet (cut from theatrical prints)
10 (95) : Diana - knife-sharpening pole in back
12 (96) : Robert Campbell - possessed by Jason, later shot in head, run over with car, impaled on a barbecue skewer
13 (97) : Officer Ryan - head bashed against a locker
14 (98) : Officer Mark - and
15 (99) : Officer Brian - heads bashed together
16 (100) : Ward - arm broken, falls dead through the diner doors
17 (101) : Diner Patron (plaid shirt) - crushed onto diner counter
19 (102) : Shelby - burned to death on a deep-fat fryer and grill
20 (103) : Joey B. - face bashed in
21 (104) : Vicki - impaled on a barbecue skewer, head crushed by Robert
23 (105) : Randy - possessed by Jason, later his neck is severed with a machete
24 (106) : Creighton Duke - bearhugged to death by Jason.

Plus "Five more Jason-style murders" in the week between Jason's escape from the morgue and his arrival in Crystal Lake.

Vicki
18 (1): Diner Patron (blue shirt) - caught by stray shotgun blast

Accidental Deaths
22 : Sheriff Landis - impales himself on magic dagger

Jessica Kimble
25 (1): Jason Voorhees - stabbed with magic dagger: sent to Hell


Friday the 13th Friday the 13th Part 2 Friday the 13th Part 3 Friday the 13th Part 4 Friday the 13th Part V Friday the 13th Part VI Friday the 13th Part VII Friday the 13th Part VIII Jason Goes to Hell Freddy vs. Jason Jason X