Concerning the Paris ban for older cars and bikes: Vehicles of more than 30 years old are exempt from this rule. www.autoblog.nl/files/2016/06/klassiekers-frankrijk.pdf
Nevertheless I would not recommend riding there, unless you have suicidal tendencies, those french ride/drive like idiots, and appear to be all out to kill you.
Well, let me just ask ... Looking at road crash statistics, about 5 out of every 100,000 Frenchmen will die in road crashes in a year. In the USA, about 11 out of every 100,000 people will die in such crashes. On a per vehicle-mile basis, I've still got a 50% greater chance of getting killed in the USA than in France.
Sounds like to me that I'm twice as likely to get killed in the USA on the road as I am in France on the road ... And I know that I don't "feel" that much danger every time I go out on the highway here ... and I'd be twice as safe in France .... ?