There's a good chance you've already tried Overwatch at this point, but just in case you haven't, or you want to play again for free, there's a seven-day free trial coming next week on all three game platforms: PC, PlayStation 4 and Xbox One.
It runs 20th-26th November. There are precise timings on the Overwatch website.
The most notable new thing to hit Overwatch recently is new hero Ashe, a damage pick, who excels if you're a sharp shot. She also has a wonderful Ultimate which summons her robo-butler Bob, who charges into enemies, hitting them into the air, and then stands there shooting at them.
Nothing is withheld in the free trial so the full roster of maps and heroes are available. If for some reason you don't fancy the team-stress of Quick Play or Competitive modes, may I suggest hitting the Arcade section and playing one of the Mystery Heroes, Deathmatch or custom modes?
Mystery Heroes changes your hero randomly every time you die, which means you're forced to try new characters whether your team likes it or not. It's perfect for getting to know heroes you're too scared to pick otherwise, and given the random nature of the mode, the mood is generally more relaxed too. It's good, wholesome, mess-about fun.