1400 cc 1900 lichess for rapid. Although I only have 6 games. 5 won and 1 lost
what is your chess.com rating compared to your Lichess rating?

usually people on lichess take their time, while people on chess.com just blitz their moves. So cc players usually have an advantage on lichess, which is probably why cc ratings are much lower. This isn't completely accurate, just talking from my experience.
Can someone explain to me how chess.com and lichess current rating systems differ from each other? In lichess I'm better than ~23% of players with a rating of 1200. At chess.com my rating is 695 and it says I'm better than ~54% of players. Also I'm playing lots of 100-600 rated players on chess.com, who have had previously rankings of > 1000. So clearly there's some new system, but how come I'm so much better rated here on chess.com?

blitz is 1400 here and 1550 there
rapid is 1450 here and 1750 there
and i barely play bullet on lichess
these could be inaccurate since i literally only use lichess if I dont have a good enough internet connection for chess.com or i have rating anxiety (i dont know the lichess to chess.com conversion so i dont know if my ratings are good or not + dont care if i lose rating on lichess)
Bear in mind that the classical pool on Lichess is less than 20,000 players. Rapid pool here is more than 20 million. You can be in the top 10% on this site but barely in the top half there.

2000 lichess rapid - 1850 rapid here
1950 Lichess bullet - 1550 bullet here
1700 Lichess Blitz - 1550 Blitz here
18xx blitz lichess - 16xx blitz here
17xx bullet lichess - 15xx bullet here
2000 lichess rapids (i dont play rapid here nor on lichess since a while)

I'm 2300-2400, on both sites.
I believe the rating gap between Chess.com and Lichess is large at lower levels, but progressively shrinks the higher you climb.

Another perspective: I keep an eye more on my percentage than on my elo. My lichess blitz rating is higher, but my % there is 67 (better than 2/3 of players) but my chess.com % is over 93% (!) which seems to indicate that the level of active players on Lichess is much higher, at least at my level (1700 blitz).
Rapid 709 here, 988 on lichess.. yes it definitely boosts my self esteem a bit winning over there, though I know that the rating systems are different.