1788-1804: Federalist
1804-1824: Republican
1824-1828: Jacksonian
1828-1848: Democratic
1848-1854: Independent
1854-1884: GOP
1884-1892: Independent
1892-1896: Populist
With hindsight
1896-Present: Democratic (5 Swings: 2 against Wilson the Warmonger, 1 against Davis the Racist, 2 against Stevenson the Elitist)
Without hindsight
1896-1904: Democratic
1904-1912: GOP (Swept up by the TR cult and short-sighted anger at the nomination of Alton B. Parker, followed by naively assuming Taft would be a third TR term)
1912-1916: Progressive (I'd go this way simply because of the TR personality cult, even though most Northern Democrats were effectively everything TR wanted already, and with the bonus of no warmongering)
1916-1928: GOP (One swing: 1 against Coolidge, the other 3 votes I would fall for the buzzwords against Wilson and fail to see the emptiness of Hughes or failures of Harding,when Cox was easily a better choice)
1928-Present: Democratic (Two swings: Both against Stevenson)
As for the Wings
Hamiltonian Feds (Not Adams)
Madison Republicans (Because Jefferson was disgustingly libertarian)
Van Buren Democrats (And the Van Buren crowd liked Jackson's populism, but not his pro-slavery. However the populist stand makes a better argument against slavery in the first place)
Anything anti-slavery as an independent
Radical GOP
Mugwumped to no party again
Populists
Anti-Imperialist Democrats
Now without hindsight
Progressive GOP (1904-1928) [The Progressive wing as we know took a break between 1912-1916 and 1924-1928]
Moderate Democrats (1928-1970)
New South Democrats (1972-1984)
New Democrats (1984-Present)
With hindsight
Anti-imperialist Democrats (1896-1908)
Liberal Democrats (1908-1914)
Anti-war Democrats (1914-1920)
Liberal Democrats (1920-1932)
Moderate Democrats (1932-1948)
Civil Rights Democrats (1948-1968)
Moderate Democrats (1968-1992)
Progressive Democrats (1992-Present) [Because DLC is a disaster]
I'd add to this 2020 as the turning point to being Independent, with even Progressive Democrats being useless and beyond the pail.