I am a US citizen who moved to France three years ago with my EU (UK) spouse. To obtain my titre de sejour I had to show savings/pension income (no amount was specified) and evidence of private insurance. I was able to enter on a tourist visa and apply once I was here.There are no "adequate income" requirements - but you do have to show that the EU spouse is "exercising their EU rights" which means you can't just be "hanging out" in France. You need to have a statut of some sort - either you're working, studying, retired or you are living in France without working, in which case you would have to show what you're living on (say, savings or whatever). The prefecture can get sticky about this exercising your EU rights bit, so obviously, the better prepared you are, the easier things will go.