The latest Xbox and PlayStation consoles come in versions with or without a disc player. From the get-go, you'll need to decide if you want to purchase games on a physical disc or just digitally.
Another clever option is to subscribe to gaming services. While Nintendo doesn't offer such a service, Xbox and PlayStation do. For a monthly fee, you can download as many games as you like from their catalogue. This is fantastic if you play loads and always want something new.
If you're unsure about which video game to try next, have a look at this Top 40 list of the best video games of all time.