Both have confused memories and a strong suspenseful atmosphere, and cause doubt about what is and isn't real.

Both stories focus around women seeking revenge for crimes committed against them in the past. Also, Yoo Sun is in both of them, though her role is more major in Eve. Eve has more romance and the main character is keeping more secrets, while Queen of Masks is a more a story about a tangled friend group where everyone has their own lies and love stories going on but is not exactly romantic.

Both dramas have a woman out to get her daughter back from her shady ex, and teaming up with women that were originally her enemy in order to do so. Additionally, they both just have a lot of morally gray/complicated female characters. Queen of Masks is darker than Mine, while Mine has a more polished veneer and perhaps a more optimistic outlook overall.

Both have matriarchal societies, strong female leads, male leads with some tricks up their sleeves, and a lot of humor.

Family feuds in 1930s China, combined with a focal romance. GYADL is more (melo)dramatic and extreme, while City of Streamer has a more serious vibe but still has a ton of pining and scheming.

Both dramas have a female lead who is focused on her career. Hae Ryung works at the palace, and so (eventually) does Cheon Gi. Both female leads fall for a man who at first glance seems more soft/gentle, while the female lead is more strong willed and ambitious. (Though, in Lovers of the Red Sky, Ha Ram isn't really as soft and gentle as he may seem.) And both dramas start out with more focus on the female lead's professional aspirations and on the blossoming romance before transitioning to a greater focus on political intrigue and more angst.

That said, the tone of Rookie Historian Goo Hae Ryung is more comedic and down to earth than the spooky vibe of Lovers of the Red Sky.

While Winter Begonia is a chiller, somewhat more serious show than Granting You a Dreamlike Life, and less focused on romance (as its central romance is censored to bromance), both shows center on a relationship between a great opera performer and a shady rich dude, are set in the 1930s, and have a certain level of petty melodrama.

Both Save Me and My Country the New Age have Woo Do Hwan in a complicated friendship that is shattered by betrayal. Of course in My Country the New Age it's the main plot, whereas in Save Me it's more tangential (and the schism is less deep).

Both Ancient Detective and Love Is More Than a Word contain mysteries in a wuxia/historical Chinese setting, and a strong bromance (tho of course Ancient Detective also has a heterosexual romance and is not a censored gay romance, but there is still some good subtext imo).

Both have a cop and some victims returning to an old closed case. Also, they both revolve around people confessing to crimes and these confessions being doubted. Also, they both have "Confession" in the title (lols).