I was just introduced to 'cozies' last year by a friend here at PBS and am trying to find more quick reads for pool side reading this summer. Please consider my likes and dislikes below and let me know if they have to be read in order.

Really like: Charlaine Harris' Lily Bard Series (but not Sookie Stackhouse);  the Cat Who series (though I'm NOT a cat lover),   Elliott Roosevelt's series on Eleanor Roosevelt's White House mysteries

don't like: Carolyn Hart's Death on Demand series, Aunt Dimity

kinda like: Rita Mae and Sneaky Pie,  Haunted Bookstore series

I'd probably like something that takes place in Biritish isles, a library, college setting,or museum.

I would recommend Kate Carlisle's Biliophile series, first one is Homicide in Hardcover. 

Also Julie Hyzy's White House Chef series.

I always read in order because the character's lives progress through the series.

If you want to look at cozies by setting, here is a great website - http://www.cozy-mystery.com/Cozy-Mysteries-by-Themes.html

I recommend: The Miss Zukas series by Jo Dereske. The first book is Miss Zukas and the Library Murders and though I've only read the first one, I believe they should be read in order.

Sue Grafton's Kinsey Millhone series. First book--A is for Alibi--I really like this series

The Sarah Booth Delaney series. Them Bones is first.

And my favorite--Margaret Maron's Deborah Knott series. First book--Bootleggers Daughter. The first book in this series is not fantastic but don't be put off. The series just gets better and better. You do need to read Bootleggers Daughter to get back story.

All of these series need to be read in order because of developing story line and characters.

Hope you find something you like. I liked the Lily Bard series as well and am sad that there were only 5 books in the series.  And I loathed the the first, and only, Sookie book that I read!!

ETA: I should add that I don't consider most of these to be cozies, but then, I don't really consider the Lily Bard series to be cozy either. Anyway, you can go to Fantastic Fiction or Amazon and read the descriptions--maybe you will like some of these.

The Gaslight Mysteries featuring Sarah Brandt, a mid-wife in early 1900's New York is one of the only cozy series that I keep up with anymore.  The author is Victoria Thompson.

I haven't read any of the series that you mentioned so not sure how they compare but a few of my favorites are:

Cats in Trouble by LeAnn Sweeney

Magical Cats by Sofie Kelly

Library Lovers by Jenn McKinlay

Cat in the Stacks by Miranda James

Cupcake Bakery by Jenn McKinlay

I usually end up either pre-buying these or getting as soon as they are released.

Susan Wittig Albert's China Bayles series.  Also her "Cottage Tales of Beatrix Potter" (these really are for adults) and her Darling Dahlias series

Liz Lipperman's Clueless Cook series

Amanda Lee -

Laura Child's Tea Shop mysteries and her Cackleberry club series

I second LeeAnne suggestion of Victoria Thompson's gaslight series.  One of my all time favorites!

Another series that I like is Shirley Tallman's Sarah Woolson series.  Sarah is a lawyer in 1880 San Francisco, fighting to get respect from her male colleagues and the public in general.

Almost forgot to mention--to try and find similar authors to what you like, check out the literature map website:

http://www.literature-map.com/

Just enter the name of an author you like and it'll suggest authors you might like.

I like the Chocoholic series by Joanna Carl, the Granny Apples series by Sue Ann Jaffarian, the Orchard Mystereis by Sheila Connolly, Sheila Connolly also does a series called Museum Mysteries and I like them as well.