I think it's great that you've had this epiphany and realised what you're doing and you're looking to fix it. That kind of self-examination is really useful!
A lot of mediocre works exist that try to copy the surface elements of a popular work, like "Harry Potter was popular and it's about teenagers who have magic, and it has a British school uniforms and old castles aesthetic and blue colour-grading!" and they copy those elements; British teenage friends in woolly jumpers saying "blimey!" and having magical adventures and it's all kind of blue-looking. Except... they're missing that that stuff is all just the surface appeal of the series. What people really like about Harry Potter is the tightly written mystery plotlines with artful red herrings, the whimsical detail in the world building and what were, at least for the time, nuanced and realistic characters and progressive social justice themes. It's ultimately a story that uses magic to explore themes of family and parental responsibility and coping with loss and death and overcoming depression and despair, written by a woman who was left as a single parent with very little money and poor mental health after a bad breakup and who lost a beloved family member before writing.
It's the same with Fate. Yes, the Fate series has cool legendary characters come to life with great designs and iconic abilities. It has a cool art style, it has cute girls and great action and ideas like Arthurian legend and time travel and pocket dimensions!
But if you really, really examine it, looking deeper, past the surface details, what people love about Fate are the themes of companionship, the intricate use of concepts like Time Travel for the purpose of creating a compelling and surprising story with intensely dramatic situations that explore these characters. It's not just having time travel that's good, it's how the time travel plot is used to really look into how people deal with things like destiny and facing their own decisions. In the Fate series, there's always a deeper layer; heroism is never just straight up good without question. The characters are complex and while the themes are serious, it's never scared to put in a bit of lightness here and there and explore fun concepts.
So my advice is to try to look beyond the surface of the themes and instead try to look for where the heart of works you like actually is, and to learn from those core mechanics and structures. What makes the writing tick? What is the creator really trying to say on a very basic, human level? How are the ideas being used to explore deeper themes about the human experience? How is the magic or time travel or science used to tell a human story about love, loss, sadness, friendship etc.