These two trailers come off the VHS release of Food of the Gods, Part 2. The video distributor is IVE (International Video Entertainment).
Deep Star Six (1989) was directed by Sean S. Cunningham (who also directed the original Friday the 13th)
Fright Night Part II (1988) was directed by Tommy Lee Wallace (who also directed Halloween III: Season of the Witch).
Notice that both trailers use the cliched phrase “In a world where…”