The North American counterpart to Uniclass - MasterFormat (published by CSI, the Construction Specifications Institute) organizes construction information into numbered divisions, like Division 08 for Openings or Division 23 for HVAC. It is primarily a specifications-writing standard rather than a full BIM classification system, but it shows up constantly in US and Canadian projects as the backbone for organizing specification sections, and its division numbers often get mapped onto model parameters for consistency between the drawings and the specs.
Where Uniclass dominates UK/international projects, MasterFormat is what you will meet on North American ones.