Perhaps a bit late here, but if you are looking for a more UK-style approach, then Muriel Andre is a midwife at Groupe Naissance who work from de Vinci hospital. She is French, but trained and worked in the UK for 6 years and is independent, which means she follows French medical 'law' but is free to use whatever system she likes! She also speaks fluent English - a bonus for me!
I have found that Groupe Naissance is seen as pretty 'hippy' for France, but from what I hear from friends in the UK, it is essentially the UK system with a few extras: you get the same midwife all the way through and unless you're unlucky, it's her with you in the labour/delivery room and she stays with you for two hours after that. Then she visits you every day in hospital and makes a few home visits after that. It's not free, but a lot can be reimbursed through insurance, it just depends on your insurance, so you need to check that out.
The clinic's website is down at the moment (even websites stop working in August 
) but Muriel has a website in English and French of her own with contact details. www.sage-femme-muriel.com
I don't know if you can see a midwife from the get go, or if you have to have a Dr confirm the pregnancy first, however, a midwife can follow you all the way through from that point at least.
Some points that might be useful:
- Muriel does no internal exams, unless there is a specific reason to, unlike almost all other care providers
- A GP can "follow" you until the 6 month mark and after that it needs to be a midwife or ob/gyn who works where you will be giving birth
- You need to sign up for a hospital ASAP if you know which one you'd like to go to.
- If you want to go through Groupe Naissance, you would give birth at Clinique de Vinci but you are automatically signed up by being 'followed' by a Groupe Naissance midwife and don't need to sign up immediately (I got in in my 6th month with no difficulty).
- In France, you normally stay in hospital for 3 days after an uncomplicated delivery and 6 days after a c-section. You can check yourself out earlier if you wish.
- Epidurals are extremely common in France - it is not considered a 'normal' option to not have one. This is fine if you want one, if not, you need to look at your options VERY carefully, because many people have found that their ob/gyn says they don't have to have an epidural if they don't want, but when they get to the hospital, it is pushed on them. This is one of the reasons I chose Groupe Naissance - they don't give epidurals unless you specifically want one (and if you know this ahead of time, there's no real need to go via them).
- You need to have monthly blood tests, regardless of who your provider is to test for toxoplasmosis, unless your first test indicates you are autoimmune. Most non-Frenchies aren't!
I'd also second BriocheDoree on signing up to Message. My membership came through faster than three weeks!
Good luck!