Yes, Ash did in fact see Ho-Oh in Episode 1 of Pokémon.
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Episode 1. He saw Ho-oh
Yes it flew over leaving behind a trail of a rainbow
"Wherefore art thou Pokemon" Ash says, "Gee Misty, do you really think a kiss can change someone like that?" Misty says, "We'll have to see"
Because ho-oh only comes to worthy trainers so ho-oh was showing that ash was going to be a great Pokemon trainer.
He did not see Mew in a episode. He saw Mew in the first movie,Mewtwo strikes back.But then he forgot about it but in the end of the movie,he saw mew. He also saw marge mew.