During the 1813 campaign, most of the line infantry quickly moved from the old fashioned hat to the shako. Nearly all adopted the Russian style shako but at least one regiment seems to have adopted the French style shako. So Russian or French line infantry as proxies.
Foot Guard and Grenadier regiments wore the 'kusket', a black leather helmet like the hat in style but larger and with a 'chenille' horse hair crest diagonally for the guards and fore-and-aft for the grenadiers. Perhaps Spanish line infantry with hat plus green-stuff as proxies.
The artillery had the French style shako. So perhaps French Horse Artillery 1812-1815.
Hussars had the Mirleton so perhaps Spanish as proxies.
Life Guards had French style shako and jacket with lapels. They got new hussar style uniforms are the end of the campaign. British Light dragoons perhaps.
Cuirassiers wore a helmet but no cuirass on campaign. Russian Cuirassiers perhaps.
Dragoons and Carabiniers wore shakos, probably French stye. British Light dragoons again.