Probably the more common is 'things like that', since we more usually deal with single examples:
I don't like tap-dancing, or things like that.
She made us late for the movie; I hate things like that.
If there are two or more examples, then 'things like those' would be more appropriate:
Ooh! Turnovers, tarts, raisin buns-- I like things like those.
- For Teachers