Pokemon Name: Pikachu-Blue (Pikachu + Azumarill)
Egg Group: Fairy
Stats: 67/55/40/50/50/90
Type: Electric/
Fairy
New Moves: Belly Drum, Steel Roller, Liquidation, Waterfall, Superpower
Abilities: Huge Power/Static/Lightning Rod
Dex Entry: Back in Johto there was a pikachu known for it's blue color. This pikachu was known for its sheer strength that couldn't be rivalled. However according to legend when it holds a strange orb its power can destroy anything.
Competitive Use: Light ball + huge power equates to some insane shit going down. Its attack stat is so big that it makes any shonen anime character look like a weak baby by comparison. However it has huge attack, decent speed, and nothing else. Knock off will cause this thing to be weaker and this isn't even getting into how even with that extra HP Pikachu's bulk is still bad.
Also it is compatible with light ball and eviolite.
Pokemon Name: Pikachu-Egg (Pikachu + Blissey)
Egg Group: Fairy
Stats: 145/55/40/50/50/90
Type: Electric/
Normal
New Moves: Hyper Voice, Earthquake, Ice Punch, Rock Slide, Soft-boiled
Abilities: Serene Grace/Static/Lightning Rod
Dex Entry: During the breeding craze in Johto many people toyed with making new Pikachu breeds. Pikachu-Egg was one such breed. Known for it's egg like shape and consumption of eggs, this Pikachu is noticeably more hardy than its non-egg counterparts. As such these Pikachu's are still desired due to their added durability.
Competitive Use: Light Ball is once again the name of the game, however this time you have more options than just big attack stat. For starters there's the nasty plot set up sweeper set you can try and pull. There's also a physical set since you now have STAB Extremespeed as well as some new physical toys to play with. Lastly there's wishvolt, which means Pikachu-Egg can function as a cleric due to its decent speed, big HP, and access to wish.
Also it is compatible with light ball and eviolite.
Pokemon Name: Pikachu-Dandy (Pikachu + Jumpluff)
Egg Group: Fairy
Stats: 35/55/40/50/50/
100
Type: Electric/
Grass
New Moves: Swords Dance, Seed Bomb, Energy Ball, U-Turn, Leech Seed, Strength Sap
Abilities: Huge Power/Static/Lightning Rod
Dex Entry: Another Pikachu that was birthed during the Johtoian Breeding Craze was Pikachu-Dandy. This pikachu is notable for its more grassy elements such as the dandelions on its head and arms. It's also known for jumping and sometimes floating a bit, similar to its parentage. It was bred to try and counter the ground weakness, but the end result seemed to be a faster odder version of pikachu.
Competitive Use: Light ball once again comes to aid Pikachu except now it has some new Grass STAB and U-turn to help it out. Unlike the other two pikachu variants this one still has that same pikachu fraility but now with more speed. It can also set up leech seed if it really wants to or use swords dance to increase its attack.
Also it is compatible with light ball and eviolite.