"Strong Pokemon. Weak Pokemon. That is only the selfish perception of people. Truly skilled trainers should try to win with their favorites. You know what's important."
After you and Silver have the double battle against Clair and Lance in the remakes, you can go back to Elm's lab and talk to the assistant. He'll tell you that Silver tried to apologize and return his starter, but Elm decided to let him keep it since it had started to like him. Aww.
Walking Pokemon. At high happiness, your Pokemon will dance and sing, hug or cuddle you (even the types that have claws - ouch) and find small trinkets like flowers to give to you. It's quite heartwarming when a Legendary, such as Arceus adores you enough when its happiness is high enough.
The moment you arrive in Kanto, and when a more peaceful remix of Vermillion City starts playing, evoking a sense of achievement that you came this far, and nostalgia of coming to a familiar place!
The Olivine City Gym. After the climb through the lighthouse, after being directed to a completely different city for medicine and a completely different Gym, you FINALLY can take on Jasmine. The Trainers in there are some of the same people from the lighthouse; they remember you, respect you, and root for you as you approach their Gym Leader unopposed. And even she thanks you before the battle starts. It's kind of like the end of Episode IV but with a Steelix.