I've never really tried, but it looks like lists and hashes could be implemented in Postgres through json blobs. That would still leave out sets and zsets, which I also find essential in most work I do with Redis.

Besides having all the data structures, I love just connecting to Redis without specifying a database name (there's just a database number, which defaults to 0), a database user, or needing to create a table or a schema. Redis is, so to speak, just there. Not saying this is better than Postgres objectively - I just like it more.