MSI isn't great in my experience for fully built stuff, Lenovo is relatively solid in the higher mid range. HP is also good hardware wise usually, at least it seems like they're trying.
For components it depends what you need, gigabyte and asrock mobos are good. GPUs go for Sapphire or Zotac depending on your desired chip, or MSI if those aren't available.
From the video, he highlighted Fractal Design and Arctic to be really really excellent.
However, while being in the PC parts industry, they don't really overlap all that much with Asus.
Anecdotally I can say that BeQuiet for me has been superb. But again, they're not really an Asus competitor. The closest would probably be MSI or Gigabyte, both of whom have had their own issues as well, though perhaps not as bad.