Let's make a list with the most annoying unpunishable things in LoL
I'll start with a few examples.
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Last hitting someone's neutral jungle creep after they did 99% of the damage
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Getting yellow trinket and putting only 1-3 wards all game long
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Playing support and not getting Sightstone
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Playing support and taking adc's farm
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Playing Kayle/Zilean/Yorick and only using your ultimate on yourself
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Playing Blitzcrank and pulling the enemy tank into your team late game
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Getting caught alone late game
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Diving into the enemy spawning pool to get a kill despite the nexus turrets still being up