Mmm - I think tangled up with Jubilee - which reflects how long it's been since I was last in London due to Covid, despite having been on both lines hundreds of times.
It's a nicely done map

I like this kind of thing!
Picking out some of the interesting history/language ones which might have evolved in a different way especially to reflect historical preferences.
- I suspect Bank would be Banque (not La Banque). The definite article tends to be omitted for what are major monuments. (Like Concorde, Bourse, Opera, Pyramides in Paris Metro)
- Lewisham is derived from french so likely would have stayed as Leuesham
- West Ham has nothing to do with ham i.e. the meat

Lots of interesting options for what it might have become though. It was Westhamma in 1186. with ham or hamme referring to dry land between swamps.
- All Saints / Tous les Saints would be Toussaint. It remains a major french holiday.
- Depending on the time of take-over. Greenwich might easily be named after the museum or naval college i.e. Musee Nationale de la Marine (and the French would be twitchy about the link to the meridian).
- Limehouse might be Fours à chaud as the name origin comes from lime kilns rather than lime houses. Or Les Lymhostes. Evolving maybe into Les Lymh
ôtes.
- Cutty Sark might have been Notre-Dame du Laus (she had a stint as a Portuguese ship and was called Maria do Amparo for a time, linked to Nossa Senhora do Amparo, with Notre-Dame du Laus being the french equivalent). They are into their religious/saint names historically.