Not to me.
Marie too classic to ever be old fashioned, I think. It's being used by every generation across centuries. But while that saved it from being old fashioned it does, however, make it seem pretty uninspired. I prefer the Welsh/Finnish variation
Mari (MAH-ree) or the Scottish
Mairi (also said MAH-ree, but if you wanted a more fashionable spelling without looking like an idiot, this one is good).
Leo Alexander - b. 2012
Maeve Luna &
Tamsin Rose - b. 2014