To get those who have BOTH types of console, you need to "and" them. You need to "or" them together if want those selected that have EITHER. If you "and" them you must have both or it won't be included, if you "or" them, it is included if either exists.
So you need to create a compound "or" predicate. You create a predicate for each case you want to include, and then you "or" [or "and"] together all the predicates using a compound predicate.
I'm making a few guesses based on what you've provided above, but this should be very close. Let me know if it needs clarification or cleaning up. It compiles, but I didn't create a test dataset for it. Substitute your variable name (for your realm object) and class name for the <variable inside angle brackets>.
let selectedConsoles = ["Xbox", "Playstation 4"]
let predicateOne = NSPredicate(format:"consoles IN %@", [selectedConsoles[0]])
let predicateTwo = NSPredicate(format:"consoles IN %@", [selectedConsoles[1]])
let compoundPredicateEitherConsole = NSCompoundPredicate(orPredicateWithSubpredicates: [predicateOne, predicateTwo])
let compoundPredicateBothConsoles = NSCompoundPredicate(andPredicateWithSubpredicates: [predicateOne, predicateTwo])
let results = <realm>.objects(<YourClassName>.self).filter(compoundPredicateEitherConsole)