I have recently translated the Async code examples from the excellent Real World OCaml into Lwt:
Concurrent Programming with Lwt
If you have learned (or are learning) Async through RWO and want to know Lwt as an alternative, the translated examples will be able to give you a quick overview of how similar or different Lwt and Async are. I hope they will also be helpful for people who are looking for more code examples in addition to those in the Lwt repository.
Happy hacking with OCaml!