는다든가

'Or things like doing X'

-는다든가 offers one item from an open list of possibilities, with more implied: 영상을 보거나 아니면 음악을 듣는다든가 'like watching a video, or listening to music.' It makes an example sound offhand rather than definitive, which is why it turns up constantly in explanations and interviews. It goes on action verbs; after a noun the same job falls to -라든가.

Register: explanatory, spoken