In addition to the similar games listed above, which have been linked to this game specifically in the database, you may find games with a similar theme to Rocket Arena in the following lists:
This is a subscription service for PlayStation or Xbox that gives you access to EA games. It also offers trial access to the newest EA games not included in full. Although not comprehensive some in-game purchasable content is also provided for free.
For families, the trial access to new games is actually a great feature. You get 10 hours which in many cases enables you to play the game as much as if you purchased it -- either from children getting bored of the game, or adults not having enough time to finish them. If you do want to carry on you just pay for the game (with 10% discount) and your progress is kept.
It's worth noting that there are differences in the games for PlayStation and Xbox. On Xbox you can access titles like the original Mass Effect trilogy that are supported on that system's backward compatibility.
Most online games only work if the person you are wanting to play against has the same system that you have, console, PC or smartphone. There are, however, a growing library of games that offer what is often called cross-play. This lets you play with people on different systems.
These games are a good way to extend the list of friends and family that you can play with. It also makes it less critical which system you have in your home, even if your friends have a different one.