5 species have Sweet Veil as a hidden ability, 4 as a normal one

Effect, in PokéAPI's words

“Prevents friendly Pokémon from sleeping.”

As a hidden ability

Species	Slot	Note
Cutiefly	Hidden
Ribombee	Hidden
Bounsweet	Hidden
Steenee	Hidden
Tsareena	Hidden

As a normal ability

Species	Slot	Note
Swirlix	Normal
Slurpuff	Normal
Milcery	Normal
Alcremie	Normal

Elsewhere in PokéAPI

2 more holders without a page here

Alternate forms and other species that PokéAPI lists with Sweet Veil.

Ribombee Totem (hidden), Alcremie Gmax