Almost "per se" but the main difference in the intervening 40 years from Waterloo was the advances made in weapons and ammunition.
The Minie and latterly (during the campaign - Enfield) were available to the Brits and French from the outset with some exceptions. The Russians only had 4% of their forces armed with Belgian Manufactured Minie Rifles. if these had been allocated to their troops in the Crimea, I would be surprised. Effectively, the allies had a superior fire rate, with better accuracy, and longer effective ranges. Then again Russian attack columns were pretty dense targets
I am sure Barry will be addressing this "minor" point in his PDF / supplement
No differences in the Cavalry, only distinction being that all British Unit types should be capable of carrying out any duties required by Cavalry, be they Light, or Heavy, ie Lights could charge enemy formations, and Heavies could engage in picket duties or skirmishing.
Thinredline
"There is no retreat from here, men," Campbell told them as he rode down the line, "you must die where you stand."