CNY (Central New York) has TONS of great fishing.
If you like to eat what you catch, however, stay away from Onondaga Lake.
Oneida Lake hosts a Bassmasters tournament each year and is renowned for being a top walleye fishery.
Lake Ontario is close by - Deep water trolling for salmon is popular - King(chinook), Coho, Atlantic and Steelhead, along with Brown and Lake trout.
Closer to shore and in bays, largemouth and smallmouth bass, pike, perch walleye, crappie and panfish like bluegill and sunfish.
The Finger Lakes are all loaded with wide varieties of species. Most all have Lake, Rainbow, and Brown Trout - and most also have LandLocked Salmon. You will also find good Largemouth and Smallmouth Bass fishing, with an assortment of panfish.
You can find a ton of information on NY fishing (including weekly fishing reports for Region 7-Syracuse) on the Department of Environmental Conservation Website:
http://www.dec.state.ny.us/website/dfwmr/fish/
Good luck! I hope you enjoy our great freshwater fishing!
Joe