The most fundamental thing in Monster Fusion is getting Rare/Epic monster with high maximum stat. No matter how much you fusion your common monster, at high level, your stats will stack and will lose against monster with higher maximum stat.

Legendary epic

• Luxe (Phoenix/ Suzaku) -->{Stam: 3800, Pow: >2200, Agi: 1850}
• Giant Sea Turtle (Genbu) -->{Stam: 5500, Pow: 1600, Agi:1750 }
• Crazed Wolf Beast (Byakko) -->{Stam: 3900, Pow : 1850, Agi: 2150 }
• Wind Dragon (Seiryu) -->{Stam: >4800, Pow: >1600, Agi: >1600}

All of them have very high maximum stats, and the highest total maximum stats compared to others (even other non-legendary epic). Just for note, the 4 of them are famously known as 4 Mythical Beast/ Legendary Beast from Japanese Mythology (Korean and Chinese Mythologi too, but with different name). If you get them, prioritize them in fusion, because they will surpass your main monster stats when you play Monster Fusion.

Warning: Do not teach them Support Trick EVER (cause if you do, you just waste its monstrous stats potential to crush enemy). Support Trick are better left to High Survivability Monster (High Stamina/Agi, or Neutral Element).

Super epic

• Ancient Orb --> {Stam: 3900, Pow: 1850, Agi: 1350}
• Necromancer --> {Stam: 3200, Pow: 1800, Agi: 2500}

This tier consist of epic with Stat higher than Normal epic, but lower than Legendary epic.

Normal epic

• Froborus Family --> {Stam: 3200(Snow)/2900(Thunder), Power : 1250(Snow)/>1300(Thunder), Agi : 1150}
• Hagion Family --> {Stam: 2200}
• Monthly Event Epic

This is the lowest tier of epic (granted, its still epic) in Monster Fusion. It has a bit higher maximum stats than Rare monster, but the difference isnt that great. And thus, this tier isn't that hard to get. If you can't get them, pick monster from Super Rare is an option.

Super rare

• Elemental family
• Golem family
• Mars Knight family
• Spyke family
• Prospetus family

Monster in this tier have a bit lower stats than Normal Epic, but far far better chance to get than Epic. And thus, this is the most feasible Starter Monster.

Normal rare

• Bear Alk Family --> {Stam: 1800}
• Dog family

Rare monster with shit base stats (That 1800 Max Stam almost always killed it in first turn, unless dodged it). Not worth levelling, even Ryuboo is better

Uncommon & Common

• Ryuboo

Monster in this tier generally sucks in Monster Fusion, and not worth raising, with only 1 Exception, that is Ryuboo. Ryuboo is the only monster in the game (currently) that have Neutral element. But the pros given by neutral elements cannot outweigh its poor stats.

Monster Fusion Guide: How to Fuse Monsters >>

Monster Fusion Tips: Personalities >>

Monster Fusion Guide: Elements, Two Stricks >>

Monster Fusion Review >>

Monster Fusion Preview: Train Your Monsters For Battle >>