I just noticed Drowzee and Hypno are not in the choices.
Anyway, in game I love using Starmie for it's incredible stats and movesets, also I like Azelf, same reason with Starmie.
Outside the game, I like Jirachi for it's extreme cuteness and interesting origin. And the quirky Exeggutor, always makes me curious about it's design. Lastly, I love Hypno for being weird, psycho-pedo looking and awkward.
Tie between the Abra line and Female Meowstic for me. I really like all of their designs a lot, and from what I've used of it, Alakazam seems like a decent Pokémon to battle with. Never used Meowstic before though, and I really regret not having one on my team in Pokémon Y.
I also like Masharna, Xatu, Espeon, Metagross, and Gardevoir
I especially love Sigilyph, Claydol, and the Solosis line for their bizarreness. I also think Lunala, Tapu Lele, and Starmie are really lovely Psychic-types. Other ones I like include Spoink, Chimecho, Wobbuffet, Cosmoem, Solgaleo, Uxie, Metagross, Victini, Meloetta (Aria), Gallade, Woobat, the Abra line, Bronzong, Lunatone, Delphox, Deoxys, and the Eon Duo.
My username kind of gives it away, doesn't it? That being said, I like Natu and Xatu mainly outside the games (meaning that they are pokémon that I would have if I lived in the pokémon world, but I'd also have an Espeon), while I find them slightly weak as team members in the game. In the games I like Staryu and Gardevoir.
Outside of the games, I tend to like pokémon that are fairly cute but slightly weird. I'm not overly fond of pokemon that obviously have been designed for cuteness alone, nor pokémon that are simply too weird (eg when we reach the weirdness level of a living keychain floating around in mid-air it's gone a bit too far).
The giant, magical and steely Hoenn spider, Metagross. It's aesthetically pleasing all around, but there's one thing I particularly find brilliant about it: the big X motif appearing on the center of its face which almost gives it a kind of pirate attitude.
I don't like Mega Metagross, however, as it looks like two Metagross one over the other... Whatever... The love I hold for the original Metagross is enough to make it my favourite Psychic Pokémon.
Honorable mention to Starmie, Xatu, Musharna, Meowstic and Tapu Lele.