When it comes to assembling layers of wood or acrylic, several adhesives are highly recommended for their strong bonding properties and compatibility with these materials.

For wood:
1. PVA Glue (Polyvinyl Acetate): This water-based adhesive is commonly used for woodworking projects. It dries clear and provides a strong bond suitable for most types of wood.
2. Wood Glue (Yellow Glue): Specifically formulated for wood, it offers excellent adhesion and is easy to sand after drying.
3. Epoxy: A two-part adhesive that is incredibly strong and resistant to moisture, making it ideal for outdoor projects or applications needing a durable bond.

For acrylic:
1. Solvent Cement: This adhesive works by softening the surface of the acrylic, allowing the two pieces to fuse as it dries. It creates a seamless bond that is strong and clear.
2. Cyanoacrylate (Super Glue): This fast-drying adhesive is suitable for small projects and provides a strong bond, but it may not be ideal for large surfaces due to brittleness.
3. Two-Part Acrylic Adhesive: This type offers exceptional bond strength and works well for load-bearing applications.

Choose the adhesive based on the specific requirements of your project for optimal results.