One with a bunch of cursors editing the same text would be great.
As of now found:
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HedgeDoc is really great, though it is markdown. OnlyOffice and Collabora also work pretty well.
I think it was collabora which can not do multiple cursors
CryptPad or Etherpad
You write code on those?
For quick collaborative coding, yes
Web-based there isn’t AFAIK a good one for code editing. There used to be a good one based on Etherpad, but it has been abandoned some years ago.
I personally like: https://www.saros-project.org/ Not web-based, but all you need is a somewhat modern XMPP server to do the communication, no other server side component required.
Red Hat hosts a public service for Eclipse Che.
https://www.eclipse.org/che/docs/che-7/hosted-che/hosted-che/