Here is what I found
01) Accord Speedway - Accord - 1/4 mile dirt oval
02) Afton Motor Speedway - Afton - 3/8 mile dirt oval
03) Albany-Saratoga Speedway - Malta - 4/10 mile dirt oval
04) Arcade International Raceway - Delevan - 1/3 mile dirt oval
05) Black Rock Speedway - Dundee - 4/10 mile dirt oval
06) Brewerton Speedway - Brewerton - 3/8 mile dirt oval
07) Can-Am Motorsports Park - LaFargeville - 1/2 mile dirt oval
08) Canandaigua Speedway - Canandaigua - 1/2 mile dirt oval
09) Caprara Thunder Alley Speedpark - Evans Mills - 3/8 mile dirt oval
10) Cayuga County Fair Speedway - Weedsport - 3/8 mile dirt oval
11) Five Mile Point Speedway - Kirkwood - 1/4 mile dirt oval
12) Fonda Speedway - Fonda - 1/2 mile dirt oval
13) Freedom Raceway - see: Arcade International Raceway
14) Frogtown Speedway - see: Mohawk International Speedway
15) Fulton Speedway - Fulton - 3/8 mile dirt oval
16) Genesee Speedway - Batavia - 1/3 mile dirt oval
17) Glen Ridge Motorsports Park - Fultonville - 3/8 mile dirt oval
18) Lebanon Valley Speedway - West Lebanon - 1/2 mile dirt oval
19) Limerock Speedway - Caledonia - 1/8 mile dirt oval
20) Little Valley Speedway - Little Valley - 1/2 mile dirt oval
21) Mohawk International Speedway - Hogansburg - 3/8 mile dirt oval
22) Monroe County Fairgrounds - Henrietta - 1/6 mile dirt oval
23) New York State Fairgrounds - Syracuse - 1.0 mile dirt oval
24) Orange County Fair Speedway - Middletown - 1/2 mile dirt oval
25) Paradise Speedway - Geneva - 1/4 mile dirt oval
26) Ransomville Speedway - Ransomville - 1/2 mile dirt oval
27) Rolling Wheels Raceway Park - Elbridge - 5/8 mile dirt oval
28) Skyline Raceway - Cortland - 3/8 mile dirt oval
29) Starlite Speedway - Trumansburg - 1/8 mile dirt oval
30) Stateline Speedway - Jamestown - 1/3 mile dirt oval
31) Thunder Mountain Speedway - Center Lisle - 1/3 mile dirt oval
32) Utica-Rome Speedway - Vernon - 1/2 mile dirt oval
33) Woodhull Raceway - Woodhull - 1/3 mile dirt oval