I'm currently more involved in active (urges) fighting, so the title song during the last weeks was like (The Versus Music Official channel is really awesome for that.) For music like in your two first videos/links, search for epic emotional music https://www.youtube.com/results?search_query=epic+emotional+music Epic music world II makes really nice compilations (Pandora Journey, too) Of course, you wont like every song in there, but definitely you'll find something similar to your songs. (One word of caution, I don't know how sensitive the trigger warning should be, they use all sorts of scifi/fantasy wallpaper, few might be triggering ...)
I listen to these epic music during working out. Have about 10-12 one-hour long saved in my mp3. They pump you up like hell.