Successful French Invasion of Great Britain

Given relatively even numbers - with the British on the defence, and particularly with all the defensive emplacements built up over the years - the British are likely to win.
In a battle of manoeuvre the French have a better chance.

However, to manoeuvre most effectively they need cavalry and horses have always been difficult to transport by sea. That's not to say they can't do it but they take time to unload and need time after landing to recover.

Unless the landing is in overwhelming force Grand Armee size - then they are probably looking at less than a 50-50 chance.
 
However, to manoeuvre most effectively they need cavalry and horses have always been difficult to transport by sea. That's not to say they can't do it but they take time to unload and need time after landing to recover.

Even just a quick trip across the channel?
 
The french army had no troubles defeating enemy that outnumbered them.
It was the best european army at the time, saying Britain will have no troubles fighting them is just bias.

I don't think it is - note the success British infantry had throughout the early 1800s - from Egypt (where the French army was defeated despite surrounding parts of the British line) to Maida in 1806, where a small French force was defeated by a small British force in the prototype for the actions in the Peninsula. So small invasion force is likely to get beaten. But an invasion force consisting of the whole Grande Armee, somewhere around 1805? I'd say no chance to the British army then, and I think that's similar to what Saphroneth is saying.
 
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