I know you can get Drowzee just below Goldenrod City, before the Day Care. But there aren't that many psychic Pokemon to find. I know what you mean!!
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You can find it in Saffron City from Mr. Psychic. Or I'm pretty sure you can buy it in a department store (not sure which one).
Psychic type Pokemon like Espeon, Drowzee, or Mr. Mime. Or flying-type.
Pretty much any psychic Pokemon but I suggest Gardevior, Espeon, Alakazam, and Xatu. Movesets Gardevior Psychic Protect Shadow Ball Calm Mind Espeon Psychic Shadow Ball Trump Card Protect To Lazy to Do the rest check SMOGON
You can find it in Pokemon Platinum, Pokemon Crystal, Pokemon HeartGold, and Pokemon SoulSilver.
Find and then catch