I couldn't find a website in the small amount of time that I searched, so I'm going to look at the pages for every single Kanto Pokemon and list the ones you can get.
(Note that this will not include events, transferring, or trading.)
So, here are the Kanto Pokemon that you can catch in Pokemon White.
Caterpie evo line, Pidgey evo line, Rattata evo line, Spearow evo line, Sandshrew evo line, Nidoran♀evo line, Nidoran♂ evo line, Clefairy evo line, Vulpix evo line, Jigglypuff evo line, Zubat evo line, Oddish evo line, Paras evo line, Venonat evo line, Psyduck evo line, Mankey evo line, Poliwag evo line, Abra evo line, Machop evo line, Bellsprout evo line, Geodude evo line, Ponyta evo line, Slowpoke evo line, Magnemite evo line, Farfetch'd, Doduo evo line, Seel evo line, Shellder evo line, Gastly evo line, Onix, Krabby evo line, Exeggcute evo line, Cubone evo line, Hitmonlee, Hitmonchan, Lickitung, Rhyhorn evo line, Chansey, Tangela, Kangaskhan, Horsea evo line, Goldeen evo line, Staryu evo line, Jynx, Electabuzz, Magmar, Pinsir, Magikarp evo line, Lapras, Ditto, Porygon, Omanyte evo line, Kabuto evo line, Areodactyl, Snorlax, and Dratini evo line.
Some of these Pokemon have to be caught through White Forest, which might make them mode difficult to catch.
Hope this helps!
Source:
Looking through the pages of every single Kanto Pokemon.
