Here is the full list of all 19 Rick and Morty: Virtual Rick-ality trophies - there are 4 bronze, 6 silver, 8 gold and 1 platinum.
Platinum Rick
Listen to all of the numbered tapes.
Ahh [HUMAN] memories.
Play as Troy for over 1000 years.
You should be ashamed.
Kill 100 Gromflomites in a single session of the shootout.
Charge the largest battery to 100 or greater.
Give yourself a high-five, you’re a real alchemist now!
Watch the entire credits disc.
Achieve your ultimate purpose
Go off the grid in Troy.
Or is it eggception?
Give Jerry his medicine
Play with poop
Eat poop
Throw something at the Smith home from very far away.
Dude… your hands… they’re so BIG!
Fixed a light bulb.
Have a youseeks get hit by a bus