Disney has released a teaser trailer. For deleted scenes. Only Star Wars could pull this off, but we kind of love it.
Obviously, the full deleted scenes will be on the digital HD release April 1 and the DVD/Blu-ray on April 5. The titles are "Finn and the Villager", "Jakku Message", "X-Wings Prepare for Lightspeed", "Kylo Searches The Falcon", "Snow Speeder Chase," and "Finn Will Be Fine."
Then there's one more, "Tunnel Standoff" (which we see in the clip), but that's only on the digital release, or if you redeem the digital code from the Blu-ray. So you might want to keep that in mind when making your choice of format.