The key requirements are shared storage, SMB protocol support, and least administrative overhead. Amazon FSx for Windows File Server is a fully managed AWS service designed specifically to provide native SMB file shares compatible with Windows-based workloads and SMB clients.

Option D is the optimal solution because FSx for Windows File Server eliminates the need to manage operating systems, patching, backups, file server clustering, and availability. AWS handles infrastructure management, scaling, and availability, while providing high-performance file storage that integrates seamlessly with Active Directory and supports standard Windows file permissions and SMB semantics. This makes it ideal for media applications that rely on shared file access.

Option A (Storage Gateway Volume Gateway) is designed primarily for hybrid environments that extend on-premises storage into AWS, not for cloud-native shared file systems. Option B (Tape Gateway) is intended for backup and archival workflows, not active file access. Option C requires significant operational overhead, including OS maintenance, security patching, scaling, and high availability design.

Therefore, D meets all requirements with the least administrative effort while providing a scalable, secure, and highly available SMB-compatible storage solution.