 If you liked
Ueki no Housoku
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 ...then you might like
Hunter x Hunter (2011)
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Both series consists of action and battle shounen sequences involving story arcs against certain events/antagonists. Of course, these battles involves supernatural themes and often times or not deals with the main characters utilizing their abilities to aid them in combat.
Both series' fights are straight forward and entertaining. There is also a similar theme involving the main characters participating in an exam/competition to reach their goal.
Both series also gives off an adventure like feeling.