References:

Техника и вооружение, 2008, No 10 (T-54 numbers) (GIF File)
Техника и вооружение, 2008, No 6 (Generalized data from September 1945 to 1965) (GIF File)
Бронеколлекция, 1998, №3, (IS-1 and IS-2 numbers) (GIF File)
Бронеколлекция, 1999, №4, (T-34-85 numbers) (GIF File)
Unknown Magazine (T-34-76 numbers (GIF File)
Unknown Magazine (ISU Production) (GIF File)
Unknown Magazine (A-34 Production) (GIF File)
Серия "Бронетанковый музей" Выпуск 16 (SU-122 Production) (GIF File)
ОТЕЧЕСТВЕННЫЕ БРОНИРОВАННЫЕ МАШИНЫ • XX ВЕК Том 2 (HTML Table)

It seems that the Russian terminology for tank production statistics is “ПРОИЗВОДСТВО ТАНКОВ В” if you want to look for it on the internet. Be warned that the Russian side of the internet is full of viruses and pop ups, so keep your shields up!

All Time Statistics

T-34/76 Medium Tank (1940-1944): 34,789
T-34/85 Medium Tank (1944-1946): 25,899
T-54 Main Battle Tank (1947-1959): 16,885 (alternately 18,218) (of which 96 were training only)
T-55 Main Battle Tank (1958-1981):

Armored Cars

BA-10/BA-10M

1941: 331, of which 56 had radios (2^nd half of year)

BA-20/BA-20M

1941: 302, of which 107 had radios (2^nd half of year)
1942: 137, of which 32 had radios
Total: 439, of which 139 had radios

BA-64

1942: 2486, of which 716 had radios
1943: 1,415, of which 636 had radios
Total: 3,901, of which 1,352 had radios

BA-64B

1943: 405, of which 214 had radios
1944: 3,000, of which 1404 had radios
1945: 868, of which 420 had radios (January to May)
Total: 4,273, of which 2,038 had radios

Light Tanks

T-30 Light Tank

September 1941: 200
October 1941: 115
December 1941: 20

T-40 Light Tank

July 1941: 16

T-40S Light Tank

July 1941: 36
August 1941: 90
September 1941: 10

T-50 Light Tank

1941: 60 (2^nd half of 1941)
1942: 15

T-60 Light Tank

1941: 1,388 (2^nd half of 1941)
1942: 4,477
1943: 55
Total: 5,920

T-70/T-70M Light Tank

1942: 4,883
1943: 3,348
Total: 8,231

T-80 Light Tank

1943: 75
Total: 75

PT-76 Amphibious Tank (Object 740)

1951: 10
1952: 85
1953: 210
1955: 500
1956: 206
1957: 265
1958: 180
1959: 40

Total Production: 1,896

PT-76B Amphibious Tank (Object 740B)

1959: 110
1960: 105
1961: 121
1962: 112
1963: 204
1964: 291
1965: 69
1966: Unknown
1967: Unknown
1968: Unknown
1969: Unknown

Total Production: 912 from 1959-1965. Final numbers unknown.

Medium/Main Battle Tanks

T-34/76 Medium Tank

1940: 115
1941: 2,800
1942: 12,553
1943: 15,821
1944: 3,500

Total Production: 34,789

T-34/85 Medium Tank

1944: 10,647
1945: 12,551 (of which 3,041 were produced from September 1945 to December 1945)
1946: 2,701

Total Production: 25,899

T-44 Medium Tank

1944: Unknown
1945: Unknown (335 were produced from September 1945 to December 1945)
1946: 718
1947: 200

Total Production: Unknown

T-54-1 Obr 1947/48 Main Battle Tank

1947: 22
1948: 593
1949: 98 (96 were training machines)

Total Production: 713 (of which 96 are training only)

T-54-2 Obr 1949 Main Battle Tank

1949: 54
1950: 1,007
1951: 1,462

Total Production: 2,523

T-54-3 Obr 1951 Main Battle Tank

1951: 104
1952: 1,854
1953: 2,000
1954: 2,276
1955: 775

Total Production: 7,009

T-54A Main Battle Tank (Object 137G)

1955: 1,820
1956: 1,825 (alternately 1,775)
1957: 2,007 (alternately 1,007)

Total Production: 5,652 (alternately 4,602)

T-54B Main Battle Tank (Object 137G2)

1957: 968 (alternately 850)
1958: 820 (alternately 705)
1959: 20

Total Production: 1,808 (alternately 1,575)

TO-54 Flame Tank

1955: 20
1956: 10
1957: 20
1958: 30
1959: 30

Total Production: 110

T-54 ПСТ (PST) Main Battle Tank with Pontoons (Object 485)

1957: 18
1958: 35
1959: 20

Total Production: 73

Notes: These tanks were modified to accept ПСТ-У (PST-U) or ПСТ-54 (PST-54) flotation pontoons for river/sea crossing. The steel pontoons weighed 10 tonnes, and provided the T-54 with 40% reserve buoyancy. They were powered by two propellors which took power off from tank driving wheels. Range was 60-80 kilometers at 12 km/h in the water and the pontoons contained their own 500 liter fuel tanks so that fuel on board the tank was not spent.

In 1965, new aluminum pontoons were accepted into service under ПСТ-63 (PST-63) which weighed only 5.5 tonnes. PST-63M and PST-64 pontoons were developed to allow flotation of T-55s and T-62s.

ZSU-57-2s that were modified to use PST pontoons were Object 510.

T-54K Command Tank

1955: 50 (With РСБ / RBP radios)

Total Production: 50

T-54AK Command Tank

1956: 50

Total Production: 50

T-54BK Command Tank

1957: 100
1958: 80

Total Production: 180

T-55 Main Battle Tank

1958: 610
1959: 1,602
1960: 2,174
1961: 2,225
1962: 1,626
1963: 225

Total Production: 8,462

T-55K Command Tank

1959: 200
1960: 100
1961: 50
1962: 50
1963: 50

Total Production: 450

T-55 ПСТ (PST) Main Battle Tank with Pontoons

1960: 20
1961: 20

Total Production: 40

T-55A ПСТ (PST) Main Battle Tank with Pontoons

1964: 20
1965: 30
Beyond 1965: Unknown

Total Production: Unknown

Notes: Have no idea if production continued past 1965.

TO-55 Flame Tank

1961: 10

Total Production: 10

T-55A Main Battle Tank

1962: 50
1963: 465
1964: 590
1965: 436
Beyond 1965: No Data

Total Production: Unknown

T-55AK Command Tank

1964: 20
1965: 4
Beyond 1965: No Data

Total Production: Unknown

T-62 Main Battle Tank

1961: 25
1962: 270
1963: 1,069
1964: 1,521
1965: 1,450
Beyond 1965: No Data

Total Production: Unknown

T-62A Main Battle Tank

1962: 5

Total Production: 5

T-62K Command Tank

1963: 31
1964: 79
1965: 50
Beyond 1965: No Data

Total Production: Unknown

Object 432 (T-64 Lineage Development)

1963: 1
1964: 90
1965: 163
Beyond 1965: No Data

Total Production: Unknown

Self-Propelled Guns

SU-122

November 1942: 1
December 1942: 25
January 1943: 32
February 1943: 100
March 1943: 100
April 1943: 75
May 1943: 100
June 1943: 100
July 1943: 73
August 1943: 32

Total Production: 638

ISU-122

April 1944: 70
May 1944: 90
June 1944: 120
July 1944: 140
August 1944: 125
September 1944: 100
October 1944: 100
November 1944: 100
December 1944: 110
January 1945 to 9 May 1945: 424
10 May 1945 to End of 1945: 790

Total Production: 2,159

ISU-122S

August 1944: 25
September 1944: 50
October 1944: 50
November 1944: 50
December 1944: 50
January 1945 to 9 May 1945: 26
10 May 1945 to End of 1945: 450

Total Production: 701 (225 in 1944 and 476 in 1945)

ISU-152

January 1944: 50
February 1944: 75
March 1944: 175
April 1944: 130
May 1944: 135
June 1944: 130
July 1944: 135
August 1944: 100
September 1944: 100
October 1944: 100
November 1944: 100
December 1944: 110
January 1945 to 9 May 1945: 452
10 May 1945 to End of 1945: 1,200
1946: 200
1947: 50

Total Production: 3,242 (1,340 in 1944 and 1,652 in 1945)

Heavy Tanks

IS-1 Heavy Tank

October 1943: 2
November 1943: 25
December 1943: 40
January 1944: 40

Total Production: 107 (67 in 1943 and 40 in 1944)

IS-2 Heavy Tank (?)

December 1943: 35
January 1944: 35
February 1944: 75
March 1944: 100
April 1944: 150
May 1944: 175
June 1944: 200
July 1944: 225
August 1944: 250
September 1944: 250
October 1944: 250
November 1944: 250
December 1944: 250
January 1945 to 9 May 1945: 997
10 May 1945 to End of 1945: 1,150

Total Production: 4,392

IS-3 Heavy Tank (?)

1945: Unknown (830 were produced from September 1945 to December 1945)
1946: 600

Total Production: Unknown

IS-4 Heavy Tank (possibly also IS-4M too)

1947: 52
1948: 155
1949: 12
1950: 25

Total Production: 244

T-10 Heavy Tank

1953: 10
1954: 30
1955: 90
1956: 70

Total Production: 200

T-10A (and possibly T-10B too) Heavy Tank

1956: 30
1957: 130 (20 were built with the ПУОТ «Ураган» Stabilizer)

Total Production: 160

T-10M Heavy Tank

1958: 174
1959: 150
1960: 163
1961: 192
1962: 160
1963: 100
1964: 80
1965: 60
Past 1965: Unknown

Total Production: Unknown

T-10MK Command Tank

1959: 35
1960: 35
1961: 10
1962: 10
1963: 0
1964: 10
1965: 0
Past 1965: Unknown

Total Production: Unknown