Self-Explanatory. Since some monster stats have variation, I'll opt for the bigger stats ('cause usually that's when a monster's willing to fight, with some smaller exceptions, like Undyne, for example).

HUGE NOTE:

Beings like Flowey/God Flowey or Gaster have never shown their stats, or at least have the "stat" option,  i n - g a m e. So I won't put them bellow. 

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Ruins:[]

Dummy

Froggit

Whimsun

Moldsmal

Migosp

Loox

Vegetoid

Napstablook

Toriel

Moldessa (Hard Mode-Only)

Parsnik (Hard Mode-Only)

Migospel (Hard Mode-Only)

Snowdin:[]

Snowdrake

Ice Cap

Jerry

Doggo

Lesser Dog

Dogamy

Dogaressa

Greater Dog

Glyde

Papyrus

Waterfall:[]

Aaron

Woshua

Shyren

Temmie

Moldbygg

Mad Dummy

Glad Dummy

Monster Kid

Undyne

Undyne (Faux)

Undyne the Undying

Hotland and Core:[]

Vulkin

Pyrope

Tsunderplane

Mettaton (first battle)

RG01

RG02

Muffet

So Sorry

Mettaton (second fight)

Madjick

Knight Knight

Astigmatism

Whimsalot

Final Froggit

Mettaton (third fight)

Mettaton EX

Mettaton NEO

New Home:[]

Sans

Asgore

True Lab:[]

Memory Head

Lemon Bread (no check option)

Endogeny

Snowdrake's Mother

Reaper Bird

The End:[]

Asriel Dreemurr

Extra: The Humans[]

Frisk (Pacifist Start)

Geno Frisk/Chara (before taking the True Knife/Heart Locket

Geno Frisk/Chara (before Sans fight)

Geno Frisk/Chara (Post Sans fight)

Notes:[]

• Toriel is the strongest monster in the Ruins.
• Papyrus is the strongest monster in Snowdin.
• Undyne is the strongest monster in Waterfall.
• Muffet is the strongest monster in Hotland.
• Mettaton EX is the strongest monster in the Core.
• Both Asgore and Toriel are superior to most monsters.
• Asriel is the strongest being in the Underground via stats.
• Most monsters are glass cannons.
• Undyne's DEF in faux battle is actually higher than in the battle itself. Even though her's attacks are weaker.
• Both Asgore and Toriel (80ATK 80DEF) are stronger than most monsters, but they are weaker than Mettaton NEO (90 ATK 9DEF), Undyne the Undying (99ATK 99DEF) and Asriel Dreemurr (∞ATK ∞DEF)
• Despite being weaker than Monster Kid (2ATK 2DEF), Sans (1ATK 1DEF) still being tougher than the Dummy (0ATK 0DEF), Glad Dummy (0ATK 0DEF), Jerry (0ATK 30DEF) and Snowdrake's Mother (0ATK 0DEF).
• The strongest monsters are: 1.Asriel Dreemurr, 2.Undyne the Undying, 3.Mettaton NEO, 4.Asgore & Toriel.