Not nearly as easy to answer as it seems. 
To begin with we have to acknowledge that even in 1986, Gene Roddenberry's outdated views of women informed his decisions in creating these characters. Gene believed, for better or worse, that although future society was one of equals, he also seen women as decorative. Gene was a flawed human being.
That said, let's look at this.
Doctor Bev was written as little more than a 'satellite character' to Picard and Wesley in the early days, and although she was forthright with her opinions sometimes she was often a soothing voice. Even later on she was more or less a inoffensive character but not an exceptional one. And she never truly lost that idea (enshrinred in the series bible, no less, which basically is a couple of lines describing her "strip tease" figure
) of basically just being there for the UST with Picard and a maternal figure to Wesley. She's supposedly a medical professional, but her *function* in stories beyond being an instrument of medical science was basically to fawn over her son and have UST with the captain.
Deanna was a counsellor. Her whole schtick was to be as inoffensive as possible and make other characters feel better about themselves (admittedly she started getting better after they remembered she was supposed to be a Lt Cmdr and wrote her some good material). Luckily she didn't ever quite just become 'Riker's girlfriend', but her role was often purely functional.
Tasha Yar was in theory a strong independent female, but in practice most times she was given little chance to show it and many times the kicking ass scenes in season one went to Worf while Tasha watched from the sidelines, even before her death. A notable example is Hide and Q, where her contribution is to be relegated to a literally purposeless role without so much as getting to throw a punch while Worf gets to stay planet side and fight the animal things. A lot of that is season one though, we can't imagine how much better she might've been written later had Crosby stuck around.
Doctor Kate almost gets my vote. She's unlike any other character in Next Gen. Strong, independent, forthright almost to the point of arrogance, but steadfastly comfortable in her own skin. She's a very strong character, albeit short-lived.
Ensign Ro, again only supporting cast, but supremely strong both in characterization and acting.
Guinan, well Whoopi had the chops and often acted other cast off the screen. She stands toe to toe with Sir Patrick several times and manages to hold her own admirably where others fell short. Her speeches in The Measure of a Man and Yesterday's Enterprise alone elevate her.
So for me, it's the non-regulars who got the best characters: Pulaski, Ro and Guinan. The three 'regular' female characters each had their moments, but more often felt held back from their full potential.
But what do you lot think?

To begin with we have to acknowledge that even in 1986, Gene Roddenberry's outdated views of women informed his decisions in creating these characters. Gene believed, for better or worse, that although future society was one of equals, he also seen women as decorative. Gene was a flawed human being.
That said, let's look at this.
Doctor Bev was written as little more than a 'satellite character' to Picard and Wesley in the early days, and although she was forthright with her opinions sometimes she was often a soothing voice. Even later on she was more or less a inoffensive character but not an exceptional one. And she never truly lost that idea (enshrinred in the series bible, no less, which basically is a couple of lines describing her "strip tease" figure

Deanna was a counsellor. Her whole schtick was to be as inoffensive as possible and make other characters feel better about themselves (admittedly she started getting better after they remembered she was supposed to be a Lt Cmdr and wrote her some good material). Luckily she didn't ever quite just become 'Riker's girlfriend', but her role was often purely functional.
Tasha Yar was in theory a strong independent female, but in practice most times she was given little chance to show it and many times the kicking ass scenes in season one went to Worf while Tasha watched from the sidelines, even before her death. A notable example is Hide and Q, where her contribution is to be relegated to a literally purposeless role without so much as getting to throw a punch while Worf gets to stay planet side and fight the animal things. A lot of that is season one though, we can't imagine how much better she might've been written later had Crosby stuck around.
Doctor Kate almost gets my vote. She's unlike any other character in Next Gen. Strong, independent, forthright almost to the point of arrogance, but steadfastly comfortable in her own skin. She's a very strong character, albeit short-lived.
Ensign Ro, again only supporting cast, but supremely strong both in characterization and acting.
Guinan, well Whoopi had the chops and often acted other cast off the screen. She stands toe to toe with Sir Patrick several times and manages to hold her own admirably where others fell short. Her speeches in The Measure of a Man and Yesterday's Enterprise alone elevate her.
So for me, it's the non-regulars who got the best characters: Pulaski, Ro and Guinan. The three 'regular' female characters each had their moments, but more often felt held back from their full potential.
But what do you lot think?

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