The two guys and the birdcage is based on the "Dead Parrot Sketch" from Monty Python's Flying Circus. John Cleese bought a parrot from Michael Palin, but it turns out that the bird was dead (it's complicated). Cleese has been replaced by Elon Musk and the bird by the Twitter bird, which is now dead. Palin insists that the bird was alive when he bought it.
The "X" one is a porn site, but now that Twitter is "X", the guy can tell his girlfriend that that's what's in his browser history, not porn. Thanks, Elon!