I don’t know of any in the sense of the BDSM term “submissive,” I know of only one in which he is more of a “bottom” at one point…
One Night in New Orleans by iskra667 – L/L angst, fluff, warning: it explores some darker themes and contains dubious consent. Somnophila, too, so it would count as nonconsent.

I’ve read, I think, alot of VC fanfic and Lestat being more of a “bottom” is pretty rare? He’s usually more of a pitcher than a catcher. I headcanon that he really only “bottomed” for Nicki when he was mortal, and as a vampire, he currently “switches” with Louis, and David, separately, sometimes. But the BDSM term “submissive,” idk about him doing that.
Anon, you could write some *nudges*
Anyone is welcome to write some, and/or share links to fic (on AO3 and tumblr only, please).