It's hard to find resources for pass-through load balancing because everyone came up with a different way of calling it: pass-though, direct server return(DSR), direct routing,...
We'll call it pass-through here.
Let me try to explain the thing:
Regarding other load balancer types there can't be a definitive list, here are a few examples:
As for the advantages of pass-through over other methods:
Some applications won't work or need to be adapted if the addresses on the IP packets is changing, for example the SIP protocol. See the Wikipedia for more on applications that don't play along well with NAT https://en.wikipedia.org/wiki/Network_address_translation#NAT_and_TCP/UDP.
Here the advantage pass-through is that it does not change the source and destination IPs.
Note that there is a trick for a load balancer working at a higher layer to keep the IPs: the load balancer spoofs the IP of the client when connecting to the backends. As of this writing no load balancing product uses this method in Compute Engine.
If you need more control over the TCP connection from the client, for example to tune the TCP parameters. This is an advantage of pass-through or NAT over TCP (or higher layer) proxy.