Well... Depends on the topic at hand for a "game that resonates with me"
Is it a game that hit me straight in the feels? A game that I can really relate to? A game I have set a standard to when I play other games?
Here are a few that are important to me...
Devil May Cry 3. It is hands down the best action game ever made in my book. The best monster designs, the the best boss designs, coolest weapons ever, amazing battle system, awesome theme and art style, and despite the fact that the story wasn't the best thing ever, it did speak to me. The entire premise of sibling rivalry, family problems, and destiny are themes I can still relate to today.
Super Mario RPG: Legend of the 7 Stars- this is my first RPG ever. So because of it, I have a special connection to it. I don't have anything I can think of when I say "I can relate to it". But it is more of the "nostalgia goggles" where I can only see good in it because it is what I grew up with. The game may not be the best ever, but I hold it really highly.
Persona 3 and 4- I discovered these games later in my life than I wish I had. Everything in these games are just so well done. Story, music, themes, symbolism, life lessons, ect. I want to say more but I cannot think of anything at this moment.
Phoenix Wright- the feels, such good stories in each case... That is all. The first and third game spoke to me the most. I really enjoyed the story and dynamic of Phoenix, Mia, and Godot.
Borderlands 2- best Villian ever, great story scenarios, best NPCs ever.
Lastly golden sun- Golden Sun was one of the first games (besides Pokemon). I became a super fan of. There was so much great lore and story in Golden Sun and it is so under appreciated. Long story short, it is like the Avatar anime in video game form.