Possibly extradition to the US over Wikileaks stuff, but no pubic application for that yet. But if he could be extradited from the UK to the US over Wikileaks, why would the US do the convoluted "extradite him to Sweden then on to the US from there" scheme that he claims was in progress? (ducks)
I don't know if the rape case in Sweden can be reopened. But I suppose the US wants him in relation to the Russian election meddling investigation plus other cases and I suppose for him to be extradited he will first appear before a UK court.
There are obviously open cases as he has been arrested.