Not to confuse you more, but the Elizabeth line is Crossrail 1. There is also a proposed crossrail 2 which would be another cross-London line running south-west

Not to confuse you more, but the Elizabeth line is Crossrail 1. There is also a proposed crossrail 2 which would be another cross-London line running south-west to north-east. This hasn’t been approved yet, and given the strained finances and reduced passenger numbers post-covid, I suspect it won’t be for a while. But it may well happen at some point.