 If you liked
Tate no Yuusha no Nariagari
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 ...then you might like
Shinchou Yuusha: Kono Yuusha ga Ore Tueee Kuse ni Shinchou Sugiru
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Both feature a male hero protagonist who level up and fight monsters in the process. Cautious hero is more of a comedy, where Seiya is overpowered yet naive, whereas Shield Hero has more serious tones as Naofumi is looked down on and works his way up the ranks. The both are hard to open up to. Both of these anime feature the protagonist being transported into a new world (isekai)
Both Protagonists personalities match each others, also they both are cautious with people because of the fear of loosing and being cheated