Finally caught up with everything.
So I say we should try to improve Taylor's sanity first before we try to gain new powers in case of unforeseen consequences. But if we had to do both, how about going into the Powerpuff Girls. It should be a childhood TV show for her, meaning that she has fond memories of it, and I don't think that there is anything too traumatizing for her. She'll also get flight, heat vision, X-Ray vision, and super speed. Bubbles once ran around the world in 7 seconds (Season 4 Episode 5, Members Only). If she does ever do The Powerpuff Girls, I would recommend either Blossom or Bubbles since they have more powers unique to them than Buttercup.
Lilo & Stitch is another option what with all the "Ohana means no one is left behind" lines. I would hesitate to put Taylor in Stitch's role given the possible physical alterations she may receive and if she's Lilo, she can focus on her mental health. Frozen is another, with Taylor as Elsa, mostly for Ice magic and Elsa's relationship with Anna.
For Jackie Chan, how about Jackie Chan Adventures. Taylor can be Jackie, Jade, or even Uncle. Jade once had all the powers of the Talisman infused in her, which would give Taylor healing and immortality, Uncle has Chi magic, and Jackie has his martial arts.
For books, has anyone ever heard of the series, The Secrets of the Immortal Nicholas Flamel by Michael Scott? Because I would recommend Taylor at least reading the first two books and assuming the role of Sophie Newman.
In the first book, Sophie is Awakened, letting her use magic and having enhanced senses. She also learns the Magic of Air by receiving all of the Witch of Endor's memories and experiences. The few downsides that I can immediately think of is sensory overload and an identity crisis from the massive influx of memories from the Witch of Endor who lived for thousands of years (she's at least 10,000 years old and, if IIRC, she once turned an entire Roman legion into fingernail-sized figures to wear them as a necklace. The Romans were kept alive for centuries in that state too).
The second book helps partially solve both issues in that Sophie gets used to her new senses and Joan of Arc helps her organize her newly gain memories. In addition, Sophie learns the Magic of Fire and how to make armor with her aura/magic. The armor is also somewhat automatic in that it instantly formed to protect her from fire before she was even aware of the danger. It should also be noted that Awakened humans need to eat less and eventually, don't need to sleep as much. One character - Billy the Kid - noted that he only needs 1 hour of sleep per week and he's perfectly fine. If we get to at least the second to last book, The Warlock (which came out in 2011), Sophie would know all four elemental magic.
The main downside to aura is the fact that using too much will result in spontaneous combustion of the user and the fact that it's not as OP as other powers. Aura/magic is mainly limited by how much power the person has and, in some cases, imagination.
For video games, I was going to suggest American McGee's Alice and its sequel Alice Madness Returns, but given the fact that Alice is insane and traumatized by her family burning to death in both games, it's probably not the best idea unless Taylor has full Sanity. I also recommend Warframe though for space-ninja-steal-all-the-loot shenanigans, but she would need to build her own Warframes since the Second Dream revealed the truth about Tennos. Then again, her Warframe(s) may just come with her like Ru Yi Jin Gu Bang did. On the other hand, Taylor's inability to control her Tenno powers would harm those around her like it did with the canon Tennos.