Growing up, I did not like art. Because I wasn't naturally gifted at painting or drawing, I didn't see the value in learning about art.
Over the years of homeschooling my perspective has changed drastically. I have seen so much beauty and meaning in studying art and the lives of artists.
I also have come to see myself as a creative person because my horizons have been broadened as to what constitutes as art. Art is not just painting and drawing, but it is so much more! And, creative work exists outside of those two mediums.
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How have I fallen in love with art you ask? Little by little, starting with introducing art to my children as preschoolers.
If you're looking for ways to study, understand and enjoy art more as a family, here's how I would begin:
Preschool
The Katie Series by James Mayhew: This series is about a girl named Katie who discovers that she can step inside famous paintings when visiting art galleries. She gets to know each painting she visits and the reader is introduced to many famous works of art and the artists behind them. It's a really cute and clever way to introduce little ones to classic artwork.
Mini Masters Board Book Series by Julie Merberg: I love this board book series as a way to expose children to beautiful art. I love how they showcase some of the most well known works and I learned a lot just reading these to my kids!
Elementary
Living Art Lessons from Master Books: We've used this book in our art lessons the last year and it's been really nice. The book introduces kids to the basic elements of art like shape, color, and line along side simple artist biographies and ideas for fun projects to engage with each new concept. 
Laurence Anholt Series: Laurence Anholt has such a playful way of telling kids about the lives and works of famous artists like Degas, Van Gogh and Matisse. I've used this series to decide which artists I was going to first introduce to my kids because they were such an easy avenue into familiarity with an artist for this age group!
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Pre-Teens
The Restorationists Series by Carolyn Leiloglou: This is an amazing, immersive series for middle-grade readers. I really enjoyed reading the whole series when I read them myself and also looking up any of the paintings I was unfamiliar with!
Getting to Know the Great Artists Series: With tons of information and a good representation of lots of artists, this is a fun series for pre-teens to dive into! It's a bit more text book than I usually like, but there are more artists featured in this series than most and they include very clear photos of their artwork!
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13 Children Should Know Series: I like that this series highlights art of all kinds--architecture, sculptures, art inventions, fashion, photography and more. Each book shows a timeline of where artists fall in history among other important events and has a simple one page bio that packs a lot of information in! 
Teenagers
The Monuments Men Movie: This movie is based on the true story of men who risked their lives to save art during WWII. It's a great tie in to history and art study and a really enjoyable movie.
Documentaries: I think kids this age really connect with art through the backstories of the artists. There are so many good ones for this age group. Many artists had troubled lives, so I would prescreen for content and adjust according to your child's needs. Some of the best ones are The Story of Women in Art (BBC),and Bob Ross: Happy Accidents, Betrayal and Greed (Netflix).
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Adults
Rembrandt is in the Wind and/or Van Gogh Has a Broken Heart by Russ Ramsey: Both of these books changed the way I view art and kick started my love for it. They both explore the lives of great artists to show how beauty, suffering, faith and creativity are deeply intertwined. It opened my eyes to how art can impact the human experience and how noticing beauty can deepen our understanding of God and ourselves.
The Art Thief: A True Story of Love, Crime and a Dangerous Obsession by Michael Finkel: This book is not for kids, but the story is incredibly fascinating and wild from start to finish! It's half art intrigue, half true-crime and a whole lot of surprising turns.
For the Whole Family
Picture Study: Picture study is the easiest, and most fun way to engage with art. We typically choose one artist per term and collect 6 prints of their most well known work. Every other week we study the painting by playing "hide and describe". 
Each child gets a chance to view the print (we usually do one print per week) and they are encouraged to look carefully and notice as much as they can. When they're done looking they silently hand it to the next child. At the end we place the photo face down and talk about what we noticed.
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I don't use any leading questions, but usually they comment about what is happening in the print, what tiny detail they noticed or what colors they saw.
Then we look again together. I usually read a little blurb about the artist or when the painting was made or what it's titled. We might talk about any other details that are relevant or interesting, but not too much. It's really very simple.
After we display the print in our school room. The goal is to encounter beautiful art and for a child to become familiar with the artist and their style. And it works! My kids and I have become acquainted with all kinds of art and artists through this simple and easy practice.
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Art Mediums Exposure & Practice: And finally, one of the best ways to enjoy art for all ages is to try different mediums, whether watercoloring, painting, fiber arts or clay. There is so much joy and art appreciation to be had just by trying out and exploring different types of art for yourself!
This is an awesome post, I’m definitely
going to look up some of these resources to use with my kids. I studied art and even became a high school art teacher without ever being too passionate or knowledgeable about art history and famous works (I suppose I thought it hard to connect to the enjoyable experience of making art myself, there were famous works I didn’t like, or it was taught poorly). As a teacher, when I had to teach art history, I discovered the YouTube series (at the time it was on Kahn academy, might still be) called TICE Art 1010, featuring hand drawn animations of “Arturo picturo”. There’s one for every major period of art history and even though they’re perfect for kids I fell in love with them. They’re fun and engaging to watch, well done, connect art to major historical events of their time and really helped me place works I had heard of in the correct timelines. I love them! Highly recommended any homeschooler check them out.