The phrase "imaginable type" refers to any kind or category that you can think of or picture in your mind. It means considering all the different types or varieties that you can imagine or conceive. Full definition
At Vincent Shoes, you'll find a full line of casual shoes, sneakers, dress shoes, indoor shoes, rain boots, winter boots, and every other imaginable type of footwear for children and -LSB-...] (mamanista.com)
With brilliant photographs of every imaginable type of creature — mammals and marine life, insects and birds — this book nearly has them all. (cnbc.com)
You can find lists of resources (every imaginable type of resource), links to online forums about gifted education and gifted students, a very thorough section for parents of the gifted, details about the different methods often used for identification of the gifted, curriculum resources for teachers, a section for gifted kids, and multiple sections covering the various aspects of social and emotional needs of the gifted. (hoagiesgifted.org)