Videomaker – Learn video production and editing, camera reviews › Forums › General › Video and Film Discussion › Video delivery? DVD covers? Flash drives? › DVD is definitely a good
DVD is definitely a good option because it is more secure, more traditional, and, I think, more personal. But, there are tons of other options for delivering videos to clients: https://valoso.com/blog/deliver-client-video-files/
(BitTorrent, file-sharing websites and apps, cloud storage services, email, etc.)
I believe there is no need to personalize the DVD itself to avoid said playback issues, just personalize the DVD case. You can take requests or just have a standard format. Good luck!