Happiness evolutions
All of these pokemon evolve by having their happiness maxed out.

Pichu-->Pickachu
cleffa-->cleffairy
Golbat-->Crobat
Chansey-->Blissey
Igglybuff-->Jigglypuff
Togepi-->Togetic
Azuril-->Marril
Max happiness at night/ Evee-->Umbreon
Max happiness at day/ Evee-->Espeon
Max happiness at night/ Chingling-->Chimecho
Max happiness in day/ Riolu-->Lucario
Max happiness in day/ Budew-->Roselia

Stone Evolutions
You evolve these pokemon by giving the a stone.

Thunder Stone
Pickachu-->Raichu
Evee-->Jolteon
Water Stone
poliwhirl-->Poliwrath
Lombre-->Ludicolo
Shelder-->Cloyster
Staru-->Starmie
Evee-->Vaporeon
Leaf Stone
Gloom-->Vileplume
Nuzleaf-->Shiftry
Weepinbell-->Victorybell
Exeggcute-->Exeggcutor
Fire Stone
Vulpix-->Ninetails
Growlith-->Arcanine
Evee-Flareon
Moon Stone
Nidorino-->Nidoking
Nindorina-->Nidoqueen
Jigglypuff-->Wigglytuff
Skitty-->Delacatty
Clefairy-->Clafaible
Sun Stone
Gloom-->Bellosom
Sunkern-->Sunflora
Dusk Stone
Murkrow-->Honchkrow
Misdreavus-->Mismagius
Dawn Stone
Male Kirlia-->Gallade
Female Snorunt-->Froslass
Shiny Stone
Togetic-->Togekiss
Roselia-->Roserade

Trade
You evolve these pokemon by trading them.

Kadabra-->Alakazam
Graveler-->Golem
Haunter-->Gengar
Machoke-->Machamp
Poliwhirl w/kingsrock-->Politoad
Slowpoke w/kingsrock-->Slowking
Scyther w/metal coat-->Scyzor
Onix w/metal coat-->Steelix
Porygon w/upgrade-->Porygon2
Porygon2 w/dubious disk-->PorygonZ
Seadra w/dragon scale-->Kingdra
Clampearl w/deep sea tooth-->Huntail
Clampearl w/deep see scale-->Gorybyss
Electabuzz w/electrizer--Electravire
Magmar w/magmarizer-->Magmortar
Rhydon w/protector-->Rypherior
Dusclops w/reaper cloth-->Dusknoir

Move Set Evolvtions
These pokemon evolve after you teach them a certain move.

Bonsly/Mimic->SudowoodoMime jr./Mimic-->Mr. Mime
Lickitung/Rollout-->Lickilicky
Tangela/Ancient Power-->Tangrowth
Aipom/Double Hit-->Ambipom
Yanma/Ancient Power-->Yanmega
Piloswine/Ancient Power-->Mamoswine

Special Evolutions
These pokemon evolve in a special way.

Evee/level up at moss rock-->Leafeon
Evee/level up at ice rock-->Glaceon
Gligar/ Level up w/sharp fang at night-->Gliscor
Sneasle/level up w/sharp claw at night-->Weavile
Mantyke/level up with remoroid on team-->Mantine
Nincada/Level up with empty space on team-->Shedinja
Magneton/level up in mt. cornet-->Magnezone
Nosepass/level up in mt. cornet-->Prabopass
Happiny/ level up w/oval stone at day-->Chansey
Feebas/Max out beauty-->Milotic
Burmy/level up male-->Mothim
Murny/level up female-->Wormadam
Combee/level up female-->Vespiquen

Tyrogue
Tyrogue evolves depending on it's stats.

Tyrogue(Att.>Def.)-->Hitmonlee
(Att.<Def.)-->Hitmonchan
(Att.=Def.)-->Hitmontop<table class="table_ch"></table>