If you don't like using Extra Deck monsters, you can still play competitively viable decks. The ones I can think of off the top of my head are Normal Beat (Beast-Warrior and high ATK normal monsters using Normal-related support such as Barbaros, Skill Drain, Faustian Bargain, Justi Break, Horn of the Phantom Beast, etc...), Prophecy Spellcasters (although they can, they don't need to), Anti-meta/Chaos Stun, among a plethora of others...
If you're dedicated to playing monsters from only the original series, then tough luck. There's almost no way to win in a competitive setting. Just play with friends for fun.
- Yu-Gi-Oh! -
Requiem of Hopes
"Why do I duel? Because I made a promise. A promise of two dreams joined in the hope of a brighter tomorrow..."