Most metal boxes should help provide EMC compliance but it's probably more about what RF leaks out the box through holes and via connectors and cables and that likely comes down to circuit design and filtering on signals and cabling not the box itself.
In previous employment I worked for a company which manufactured finished electrical product. We'd design an enclosure which suited the product, assemble and send for EMC / CE conformance testing, read the reports, fix whatever needed to be fixed. I don't recall there were many problems, and don't recall any being down to enclosure design or would have been solved by changing the enclosure itself.
The only significant problem we did have was EMC on power leads and that was fixed by changing the mains filtering on the PCB. That was discovered in the first EMC / CE tests we ever did and was never a problem after that.
For particular enclosures; there are probably tens of thousands to choose from in various styles, shapes, sizes and for particular uses. Most electronic component distributors stock some enclosures and there will probably be numerous suppliers who specialise in those. Google or your favourite search engine would perhaps be a good place to start.