Mewtwo - probably better off with the below set, psychic is for that accursed fighting weakness, also keep away from amnesia slowbro's.
Amnesia, Recover, Psychic, Ice Beam.
Mew - Aerodactyl will butcher this guy.. as will a powerful physical attacker, good set if your expecting alot of DT/minimize
Swift, Softboiled, Swords dance, Earthquake.
Exeggutor - fear charizard, and most importantly stand away if they pull a good flyer (Light Screen, Drill peck, Thunderbolt on Zapdos will hurt your entire team) you might be better off with
Sleep Powder, Psychic, Double Team, Substitute.
Tauros, good set though a bit abusive.
Doubleteam, Rest, Fissure, Horndrill.
Alakazam - continuing the very boring saga of almost-standard sets.. if you want a paralyser go with slowbro, but we all like to abuse 'kazams speed.
Barrier, Psychic, Thunder Wave, Recover.
Chansey - let me say this.. avoid Tauros... FT over ice beam, but im honestly advising you to be careful if fearow turns up.
Icebeam, Flamethrower, Thunderwave, Softboiled.
overall - this team is a little bit on the boring side, Alakazam is not a choice paralyser seeing as he has a huge defensive weakness, hypno or slowbro are probably better options, even with barrier i dont see him surviving 2 decent attacks from say Snorlax.