As it progressisses it gets even more annoying.
When my little one started watching Peppa I thought we were lucky she liked a show that was descent, educational, non violent, easy on the eye and with likable characters. Yet after a while we started noticing some disturbing signs on her behavior. Our little one was becoming less patient, more crankier, more easily crying and throwing tantrums over unimportant things. Which was getting any better with the usual talk and listen technique. So one day sitting on the couch watching Peppa with her, it hit me. 10 minutes in the show and she started whinnying for no apparent or obvious reason other than the George character was doing the same. On the second episode in she was throwing her toys around the room because she wasn't happy with her toys and she was being aggressive when I mentioned that this behavior isn't really a good one to have. After this I started linking the episodes of "bad" behavior with the Peppa episodes. So we decided to cut off Peppa for a month and see how it goes, and the verdict was that the weird behavior went away and she become more stable in her feelings and how she expressed them.
I will not badmouth the series, as I believe that it's up to the parents to choose what their child should be exposed to, yet discussing the matter with other parents they agreed experiencing the same.
I think that we will continue on not having Peppa around the house because of her strong influence. Maybe the show will be better experienced once the little one hits 5 or maybe 6 where she'll be more susceptible in understanding that others have a certain behavior we do not need to copy. There are other shows better equipped for her emotional and psychological growth. Tig and Leo is one Bjorn and Bucky another, they're talking about friendship, making mistakes, correcting them, making brave choices, realizing you're not always right.