I wasn't a huge fan of 'Bared to You' myself—found the main duo a bit too melodramatic for my taste, all that 'we're both damaged and obsessed' thing. But if you want that specific brand of high-octane, possessive, emotionally volatile passion, you're definitely in what they call 'new adult' or contemporary erotic romance territory.
Sylvia Day's other books in the 'Crossfire' series are the obvious next step. The vibe carries right on through. For other authors, try 'The Mister' by E L James; it's got that same intense, wealthy, brooding hero and a whirlwind plot. J. Kenner's 'Stark' series might also scratch that itch—tech billionaire with a dark past, instant obsession with the heroine. The passion in these tends to be very physical and all-consuming, with lots of internal monologue about how they can't live without each other.
A slightly older series that I think does the passionate, damaged dynamic better is Anne Stuart's 'Ice' books, especially 'Black Ice'. It's a romantic suspense, so there's danger layered on top of the obsession, and the hero is genuinely morally grey, not just rich and sad. The intensity feels more earned, less like characters just declaring how intense they are.
Last thought: if you want similar heat but maybe a touch less angst, some of Kristen Ashley's earlier stuff, like 'Knight' or 'Mystery Man', has super possessive, alpha heroes and heroines who stand their ground, but the overall feeling is a bit more... lived-in, maybe less polished than Day's world. The dialogue is definitely an acquired taste.