Teinenpi Shoujo Heidi

same character designer, similar comedy style and highly entertaining 

Teinenpi Shoujo Heidi is a parody of Heidi for Nissan's New Note CM. Alps no Roujin Heidi no Ojii-san is a short spin-off series based on the 1974 Alps no Shoujo Heidi TV series and is part of the second season of the Sukima no Anime brand; Alm-Onji is the protagonist this time. Heidi maybe annoying in Teinenpi Shoujo Heidi but to the point that it's laughable. She's less annoying in Alps no Roujin Heidi no Ojii-san. The art style in Alps no Roujin Heidi no Ojii-san is much cuter too. 

Yodel no Onna feels like a parody of Heidi. Teinenpi Shoujo Heidi is an actual parody of Heidi. Both are meant to be comical but would probably end up annoying you. You'd laugh at how annoying the main characters are especially Heidi. Characters from Heidi also appear in Yodel no Onna. 

Short commercials for car companies that features authors of CGI animated standup-like comedies for skits similar to their main works but for purpose of marketing. 

Teinenpi Shoujo Haiji, a parody comedy for Alps no Shoujo Heidi It's recommended to read or watch the original first. 

You could watch any of these to refresh your memory of the Alps no Shoujo Heidi TV series. Alps no Shoujo Heidi (1979) is a condensed version the TV series whereas Teinenpi Shoujo Heidi is a parody for Nissan's New Note CM.