[Your wallet will remember that.]

Get Thorn before June 4th, and you can buy this shirt and replica:

Nice and subtle shirt design!

Win a Gambit Prime match with the appropriate gear set before June 4th, and you can buy your role's jersey:

Bold of them to assume their playerbase can wear a jersey. :P
That said, I needs me that Invader one!

Also, wondering what immediate impact siding with Vanguard or Drifter will have on your game? The answer is weekly rewards!

Vanguard Weekly Package:

• Powerful Vanguard Gear
  
• Boon of the Vanguard
  
• 10 Vanguard Tactician Tokens
  
• Enhancement Core
  

Drifter Weekly Package:

• Powerful Gambit Gear
  
• Collector Synth
  
• Invader Synth
  
• Sentry Synth
  
• Reaper Synth
  
• 100 Infamy Points

Speaking of immediately available things (kind of), you can pick up an "Invitations of the Nine" quest from Xur starting tomorrow.

That and more here!

Also this: