Some dramas just managed to leave so much impacts on us, it changed the way we look at things. Has this happened to you? 

I appreciate any recommendation. Slice of life preferably.

I'd like to think that I'm stoic enough to be mostly unaffected by shows and stuff, however,  Wild Heroes (not...technically...slice of life...sort of)  really really got me, I dont know if I'd say it changed my life, but it was an awesome watch.
Changed? I'm still looking for it tbh. But I'm sure there's a lot out there (asian/foreign films)

I really love movies like this. Always on the look.
Part of my watch list (not in mydramalist, like real life, I'll watch it later)

1. Orange by Takano Ichigo
- Treasuring little moments in life
- Friendship
- Manga adaptation

Anime:
1. Koe no Katachi
- IMO, movie about redemption
- Themes: Bullying, Isolation, change, redemption
- Gist: An extremely bully guy and a deaf girl (started as an elem students). A lot of things happened to both ends.
- Manga adaptation

2. The Girl Who Leapt Through Time
- It's really relatable
- There's a live-action as well (time traveller)

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Foreign:
1. The Butterfly Effect
- Haven't watched it yet. Based on comments/clips
- It's just a sad, trying to change, but always failing/hopeless

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Real People:
1. BTS (Korean group)
- Small company, people always label them 'trying hard' 'copy cats'
- IMO, its like people closed their doors w/o giving them a chance
- They always deal w/ it with good character & attitude
- Hardworking/Passionate/Sincere, not doing it just for the money
- Genuine people
- Always show how thankful they're
- Helps each other out
- Learn/Grow. Contributes to their music

These dramas changed the way I looked at things/showed me that

Dear My Friends - How precious family really is
Ms Temper And Nam Jung Gi - You must be confident in your work and sometimes let everything out
Discovery of Romance - Sometimes you must be selfish
Age of Youth - Everyone must hold it back sometimes
Cheese In The Trap (Manga was better though) - You can't like everyone cause you are a human/Every human has his own reasons why he is how he is
Liar Game - Money changes people/What is wrong in being to naive/nice??
Valid Love - You can be shaken by people but at the end you should always choose family
1 Litre of Tears - You should never give up 
Dear @Sharn, have you tried Age of Youth? One of the bests for me this year. It's a life-changing slice of Life. If you love Dear My Friends, i guarantee you'll love this too.
Gokusen - the reason why I am teaching right now :)
Bloody Monday - Because I watch this so I take my major in Computer Science :)
Age of Youth-Teaches me how to accept other's differences in order to build a proper friendship. Every relationship has obstacles but the willpower to overcome it is what matters. 
YuukiAge of Youth: if people don't complain/say something, it doesn't necessarily mean that there's nothing going on, they might be suffering/holding back something.
Yuuki (again) & Scent of a Woman: live your life to the fullest.