There are several homeschooling curricula based on "the great books" in Western culture that could be suitable for K-12 students. Here are a few options:

1. The Well-Trained Mind: This curriculum is based on classical education and emphasizes the study of great books, including works of literature, philosophy, and history. It is designed to be flexible and adaptable, and includes detailed lesson plans for each grade level.

2. The Robinson Curriculum: This curriculum is based on the idea that students can learn a great deal by reading and studying independently. It includes a list of recommended books for each grade level, as well as lessons in math and science.

3. Ambleside Online: This curriculum is based on the educational philosophy of Charlotte Mason, and emphasizes the study of great books and ideas. It includes a detailed reading list for each grade level, as well as resources for teaching other subjects, such as math and science.

4. The Classical Core Curriculum: This curriculum is based on the classical education model and emphasizes the study of great books and ideas. It includes a carefully curated list of books for each grade level, as well as lesson plans and other resources.

When choosing a curriculum based on "the great books," it is important to consider your child's interests and learning style, as well as your own teaching style and preferences. You may also want to consider supplementing your curriculum with additional resources, such as online courses or educational games and activities.