 If you liked
Tonari no Yamada-kun
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 ...then you might like
Nichijou
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Yamada-kun actually has much more of the 'nichjou' feel than Nichijou. Tonari no Yamada-kun tells the story of the very normal Yamada family and the humorous going-ons as the traditional Japanese family unit encounters various very ordinary events. Nichijou is Tonari no Yamada-kun seen through Dadaist goggles; absurd reactions and outrageous events that are definitely not every-day in the real world.
Both uses a similar sense of core humour; deadpan and full of irony. There are also quite a few famous Haiku poems featured/referenced in both.