According to a few tweets from the Burnout series developer, Criterion Games, there is currently no new entries or remasters in development. They are currently working on Star Wars Battlefront X-Wing VR Mission
No dude. Definitely no new Burnout titles are planned right now, and that's all there is to say at the moment. https://t.co/S70Stl8jjG
— Criterion Games (@CriterionGames) August 18, 2016
Its unfortunate for Burnout fans, but its not all bad, they did tweet that they are working on getting Burnout Paradise available on xbox one via backwards compatibility.
Last Oct we said we wanted Paradise on BC and that's still the plan. No news on when it'll be ready though. Sorry! https://t.co/s0mrJVi9IY
— Criterion Games (@CriterionGames) August 18, 2016