The airline offers good fares especially for passengers who can do without checked baggage and any additional services on board. Given the mix of destinations in warm beach destinations, most passengers won't need checked baggage anyway, so French Bee may be an interesting alternative.
It operates regular services from Paris to Reunion Island, to Tahiti via San Francisco (with separate tickets sold for the San Francisco-Tahiti leg) and to the Dominican Republic.
Always buy tickets only on the US version of the airline's website.