As silicon transistors approach fundamental limits, researchers are exploring post-silicon computing architectures that rely on novel principles, materials, and designs beyond traditional CMOS. Below we survey several major emerging paradigms – quantum, optical, neuromorphic, carbon nanotube/graphene-based, spintronic, DNA computing – outlining their core principles, advantages, challenges, and future prospects. We also note other noteworthy approaches. This forward-looking report highlights how each of these architectures departs from conventional silicon computing and could shape the future of technology.