Found this list earlier of the Gambino's.

1950:
Hugo Bassi
Frank 'Frankie Brown' Bongiorno
Vincent 'Jimmy the Blonde' Corrao
Leonardo Grillo
Carmine Lombardozzi
- Couple others

1953:
Anthony “Fat Andy” Ruggiano

Likely candidates for the 1950, 1953 and 1954-1957 ceremonies.
Paul “Big Paul” Castellano
Aniello "Niel" Dellacroce
Joseph “Joe” N. Gallo
Frank “Frankie Loc” LoCascio
Steven Armone
Joseph “Joe Piney” Armone
James "Jimmy Brown" Failla
Anthony “Little Tony” Carminiti
Stephen "Steven Coogan" Grammauta
Salvatore "Toddo" Aurello
Louis “Louie” DiBono
Joseph "Joe" Arcuri
Vincent “Bozzi” DeCicco
Anthony Scotto
Mario Traina
Frank Corbi

1960:
Anthony “Nino” Gaggi

1975:
Giovanni “John” Gambino

January/February 1976:
Frank “Frankie D” DeCicco
Joseph “Joe Butch” Corrao
Joseph “Joe the Cat” LaForte
Thomas “Tommy” Gambino - ?
Thomas "Tommy the Toupee" Bilotti - ?
+3-4 others

Later in 1976:
Salvatore “Sammy the Bull” Gravano
Eugene “Gene” Gotti
John Carneglia
Augustus “Gus” Corrao
Charles “Charlie” Aurello

Spring 1977:
Nicholas “Nick” Corrozzo
Leonard “Lenny” DiMaria
Frank “Frankie the Hat” DiStefano
Thomas “Tommy” Agro

June 24, 1977:
Gregory “Greg” DePalma
Roy Demeo
+ 8 others

Late 1977:
John “Johnny Boy” Gotti
Angelo “Quack Quack” Ruggiero
Peter Mosca

Other’s made in 1977: (some of these could have been in some of the above ceremonies)
Robert “DB” DiBernardo
Salvatore “Sal” Franco
James “Jimmy” Palmieri
Louis “Louie” Milito

1982:
Robert "Bobby Cabert" Bisacia
Carmen “Pee Pee” Campisi

Mid April 1986: (Funeral of Frank DeCicco)
Peter Gotti

1986: (Some of these could have been in the Mid April Ceremony)
Arnold “Zeke” Squitieri
Alphonse “Funzie” Sisca
Joseph “Joey Cigars” Francolino
Louis “Big Lou” Vallario
Edward “Eddie” Lino
Carmine “Top Tomato” Scaindra
Anthony “Tony Pep” Trentacosta
(Separate ceremony)
Joseph “Old Man Joe” Paruta

1987:
Salvatore “Tore” LoCascio
Ignazio “Iggy” Alonga

1988:
Giuseppe “Joe” Gambino
Richard Gotti
Anthony “Tony” Morelli
Salvatore “Fat Sally” Scala
Ronald “Ronnie One-Arm” Trucchio
Lorenzo Maminno

December 24th, 1988
John “Junior” Gotti Jr.
Michael “Mickey Scars” DiLeonardo
Dominick “Skinny Dom” Pizzonia
Bartholomew “Bobby” Borriello
Nicholas “Nicky” LaSorsa

1989:
Thomas “Huck” Carbonaro

January 17th, 1990
Thomas "Tommy Twitch/Sneakers" Cacciopoli
Anthony “Tony Pro” Proto
Richard “Ritchie from the Bronx” Martino
Dominick "Fat Dom" Borghese
John “Johnny” Rizzo

November 15, 1990: (A safe house in Queens)
Mario “Little Mario” Antonicelli
Charles “Charlie Carnig” Carneglia
John “Jackie” Cavallo
Domenico "Italian Dom" Cefalu
Vincent “Vinny Butch” Corrao
Frank “Frankie Fapp” Fappiano
Richard “Ritchie from the Bronx” Martino
Louis “Brother” Scida
Anthony Vincuillo

1990:
Nicholas “Nicky Mita” Mitarotondo
Anthony “Tony/The Genius” Megale
Orazio Stantini

1992:
Joseph “Little Joe” D’Angelo
John “Johnny Boy” Ambrosio
Carmine Agnello
Craig DePalma

1993:
Vincent “Juicy” DeModica
Samuel "Little Sammy" Corsaro

Mid 1990s:
John Riccobono (Different guy)

1996:
Joseph Isgro

1998:
Michael “Mikey Y” Yannotti
Primo Cassarino

1999:
Bartolomeo “Bobby/Pepe” Vernace
Joseph “Joey Boy” Sclafani (Sponsored by Augustus "Gus Boy" Sclafani)

2001:
Alphonse Trucchio

2003:
Andrew “Andy” Campos
Andrew “Andy Knapik” Merola
Victor Riccitelli
Robert Mormando
Vincent “Vinny” Fiore

2005:
Vincent "Vinny Basile" Pacelli
Benjamin Coniglia

2006:
Dean DiPreta- ?

2007:
Charles “Buddy Musk” Muccigrosso

2008:
Thomas Orefice
Michael “Roc” Roccaforte - ?
Anthony Moscatiello - ?
Joseph Scopo - ?
Vincenzo “Vinny Carwash” Frogiero - ?