What is your DVD ripping process?

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MakeMKV > ffmpeg encode in batches

I use a docker container that allows me to set it up for auto-ripping and I originally experimented with a handbrake container to set a watch folder. This setup allowed me to continuously rip and encode and all I had to do was change out discs. I did my entire collection fairly quickly with five available disc drives. In the Guides subforum there's a detailed walkthrough of somebody's process from start to finish, so I'd recommend checking that out.

Your question is focused on subs, which is a tough one. Neither Blu-ray nor DVD provide SRT or ASS subtitles, they're mostly VOB and PGS. These will almost always require transcoding to view. You've identified the only other way to find SRT subs: hunt them down. Bazarr works pretty well but isn't a panacea. Manual searching is painful. There really isn't another good way.