For me, I ship both Stefan and Damon with a guillotine. Totally agree on Blair/Serena and one of Gossip Girl's many travesties was sidelining that friendship in favor of the shitty boyfriends.
Once I hit my thirties I started moving away from romantic shipping and into platonic shipping. There are a few reasons, incluing my real life history of making poor romantic choices and great friendship choices, the stories that have come out in recent years about how various actresses have been pressured into doing love scenes they weren't comfortable with, and the simple fact that platonic relationships tend to be better written than romantic ones. For every Jake/Amy (who I agree are Relationship Goals) we have about a hundred couples like Ross and Rachel. I've lost count how many times I've chatted with people after a show ends and someone will inevitably say "they totally broke up five minutes after the finale". That's not the reaction people should have about these couples when the story is over.
So here are some of my favorite friendships:
Dorothy, Blanche, Rose, and Sophia
Lorelai Gilmore and Lane Kim
Lucy and Ethel
Sara Lance and Oliver Queen
Kara Thrace and Helo
Kara Danvers and Kate Kane
Leonard Snart and Mick Rory
Jessica Fletcher and Seth Hazlett
Nikita and Alex
Peggy Carter and Jarvis