Yeah I don’t know about a board game version of Bioshock. I liked the original PC game but the series really lost me afterwards.
Only Streampunk tabletop rpg I can think of is Deadlands. Wild West mixed with some steampunk elements.
Personally, I’ve been looking at some different Pulp game rulesets. Hollow Earth and Amazing Adventures. Although, there’s no reason why some steampunk couldn’t be woven into the storyline.