Hmmm, I always considered Faye/Cowboy Bebop to actually be on the more sexualized side.
I'll recommend Promised Neverland, Ranking of Kings, OddTaxi my top recommends for zero-fanservice shows.
There is slight fanservice (less than Cowboy Bebop) in Zenshu, that I think most people will find tasteful (a little bit of a silly hot naked springs episode at the height of the romantic arc for some characters).
There is also the question about what specific fanservice scenes bother you. Ex: Dress Up Darling, Kill La Kill, and arguably even Princess Jellyfish are about female beauty and thus a lot of pretty makeup and 'arguably fanservice' by some definition. But many people find these acceptable (possibly because in Kill La Kills case it goes so far overboard it loops into parody levels.... While Dress Up Darling and Princess Jellyfish are female gaze oriented rather than male gaze focused).
There is also the question of tastefulness. Shower scenes, bath scenes, swimming scenes, beach scenes and the like could be interpreted as fanservice but it depends on the context and how it's drawn really.