Here are some places to go:
Church of Christ's Resurrection
8, RUE DES BIGOTS
This is a small church right outside of Paris. I went there when I was in Paris, but then the priest was Fr. Mihail Artsimovich, and it was a thriving parish. I have heard that since his death, the parish is not so good now. The deacon, Fr. Andrei, is very nice, but I do not know about the current priest.
There is another church whose under some Greek group near the Arc de Triumph... I have not been in it, but my sister who lived in Paris for a year would go there on occasion. I believe it's on Rue d'Rue, or something like that.
26, rue de Sartrouville
01 39 78 71 54
I have no idea who these people are, I just found the listing on Google.
22 Avenue Kleber, 75116, Paris, France
Telephone: +33 145 01 83 56 Fax: + 33 145 01 21 15
This is info for the Antiochian diocese.
I also know there is a MP parish in Vanve, but I've looked & looked but can't find a listing for it.