Around Season 3, the producers decided to embrace the journey and bring the crew together as family. There are plenty of good to great fun episodes from thereon out. Here are a few of my favorites.
3x08 "Saru Not Saru"
Lieutenant Commander Saru is possessed by a predator species from his homeworld. Dr. Nambue confines him to sickbay, where he eats all of the things. All of them.
3x13 "Burnham in the Blind"
Burnham returns from an away mission completely blind. When she recovers, she sees through everybody's clothing. Saru takes up photography.
4x08 "Casual Friday"
In an effort to rejuvenate flagging morale, Burnham initiates Casual Friday. Everyone cosplays except Lorca, who reveals a tragic convention moment from his youth. Saru learns to whistle.
5x05 "Saru Going to Finish That?"
Saru eats all of the things again. Stamets' opera unintentionally offends an alien race.
5x15 "The Big T'Kuvmski"
Vengeful Klingons bring a clone of legendary martyr T'Kuvma to term, but he seeks the crew of the Discovery not for war but for gambling. Special guest stars Chris Obi and John Goodman.
Just give it time. I personally guarantee this future.