Yep, Born This Way is a rip off of the melody of Express Yourself. Madonna said Lady Gaga was "reductive", when asked about her. Lady Gaga also tried to go the shock-the-Catholic-church route that Madonna did.
Lady Gaga had an associate in her late teens early twenties, Lina Morgana, who was on the same record label as her. She sadly died after falling or jumping off a roof. Lina's mother says that Lady Gaga copied her whole act, and appropriated the "darkness" of Lina's genuine mental health problems. While this is subjective, what is certain is that Gaga started out wearing very ordinary clothes and singing slow songs at a piano, and only started her Lady Gaga persona and the associated traits (outrageousness, the costumes, the pretending to be weird) very shortly before she became famous.
Another one who was not happy with her is David Bowie's son, who made cryptic remarks on twitter about Gaga's "tribute" after his death which was basically just a rip off of his Ziggy Stardust persona.
I used to be a Gaga hater back in the day, because basically she's a massive phoney who has no personality whatsoever, and her whole act is a mish-mash of things other artists have done. The above examples are ones I remember, but I recall a common theme is that she is frequently accused of copying people and of being soulless.