We've had the Tessy & Tab magazines in our house and they are much sturdier than they look. Been through 2 kids and still holding up -- now our 1.5 year old is beginning to carry them around and browse through the pictures!
The paper is definitely thicker than regular magazine but not as thick as Baby Bug (which feels too thick to me!) or a board book and difficult to rip. They are super convenient to carry around because they are so light and compact -- the kids liked to bring a set of them in the car or take them on trips. Much lighter than a few board books for sure!
The interesting thing about the words on the pages is that you aren't really supposed to read them but let the kids tell their own story from the pictures. Only now, as my daughter has begun to sound out words is she really looking at them on the page. She is able to figure out the harder words because of what she sees in the picture.
Anyway, they were a big hit in our house. I've given subscriptions to many of my friends and its amazing how all the kids just love their own magazine.