Rihanna & A$AP Rocky Love on the Brain Got 'Em Feeling Like ...

Rihanna and A$AP Rocky are clearly into playing games, but not when it comes to their relationship.

The singer and rapper had a very sexy date Wednesday night in NYC, hitting up SoHo's popular Barcade -- it's an arcade and bar -- to play a little, guzzled a couple of brews and lay on some heavy PDA.

The famous couple looked like a couple of normies -- just dressed better and, frankly, way hotter -- as they posted up at the bar ... laughing it up and rarely taking their hands off each other.

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At one point they were both playing the same arcade game, taking aim at who knows what ... but they definitely seemed into it.

Nearby patrons were enjoying their company too -- you can see the awe on their faces. So, yeah ... not so normie, after all.

As we told you ... Rocky recently called Rihanna the love of his life, and added, "I think when you know, you know. She's the One."

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