You can’t see all the options yet, as tickets have not been released yet. SJ release their tickets in batches, and currently they are released until 12 April 2026. Tomorrow (10 December 2025) they will release the next batch of tickets for journeys until 14 June 2026.
As mentioned above, SJ does not run trains to Copenhagen, which has been the case for a few years now. That is due to a lack of rolling stock. They will restart service to Copenhagen at some point, but there is no indication it will happen any time soon. However, they do have a lot of trains from Malmö to Stockholm. SJ can sell you a combined ticket for the Øresund train to Malmö/Lund and then the SJ train to Stockholm. It is an easy transfer.
Snälltåget is a small company. They will make any more departures than the two you see on their website already. The 06:03 train is a night train coming from Germany, and it stops at Copenhagen South, not Copenhagen Central Station. The 16:08 train is a day train from Copenhagen Central to Stockholm Central.