I love cozy mysteries, if that interests you I can name a few for you to check out. Two of my favorite cozy authors are Jaqueline Girdner and Jill Churchill, but their books have been out of print for a while so you'd have to go somewhere like Half Price Books to browse for physical copies, or they are available for Kindle and Nook. Laura Childs writes two great cozy series, the Tea Shop mysteries and Scrapbook mysteries.
If you like fantasy books like Twilight and Harry Potter, you might enjoy the Charlaine Harris True Blood series, it puts an adult spin on vampire romance and incorporates other bits of magic and fantasy. She wrote a few other mystery series as well, it's always nice when you find an author you like that writes prolifically!
Some of the books on your list are romance, one of my favorite Chick Lit authors is Jennifer Crusie and most of her books are sort of contemporary romance. They aren't exactly a series, but some of the characters/settings overlap. I recommend starting with her older books first, then moving up the list in chronological order. I also love the Stephanie Plum series by Janet Evanovich. Jennifer Crusie and Janet Evanovich both write outrageously absurd female protagonists that make me laugh out loud at times, I read them when I need a pick-me-up.
Also check out the Demon Hunting Soccer Mom series by Julie Kenner. You have to read the series in order or you will be completely lost, but it's a great series that draws you in to a very believable magical world, but still reads like a cozy mystery. And...since you mentioned that you love 50 Shades, Julie Kenner is best known for her romance novels and has a series that seems very similar to the 50 shades books. The first book in that series is called Release Me, there are 6 books total in that series. It's on my list of series to try, but I have to admit that I've never read any of her romance books. Here's the link to her website so you can look into the books for yourself:
https://www.juliekenner.com/books/series/stark-series/
Of the series that other people have already recommended to you, I can confirm that the Outlander series is excellent and I re-read it a couple months ago, as well as the Mercedes Thompson series and the Hunger Games. The Maze Runner series is also a good YA series that reminds me of Hunger Games. I am currently re-reading the Percy Jackson series by Rick Riordan, it's one of my favorites!
One of my favorite's is the A Court of Thorns and Roses series by Sarah J. Maas. It's a fantasy trilogy and each book is loosely based on a fairytale. The first is based on Beauty and the Beast, the second Hades and Persiphone and the third Snow White. Also by Sarah J. Maas is the Throne of Glass series and this comes in a close second to the first series I mentioned. It's just so good!
