(Updated, Budget) Tier 1 Burn Zaun/Pilt + Noxus

Update:

Transfusion changed from 3 to 1, Statikk Shock changed from 1 to 3, deck is still budget but this gives the deck some much needed card draw, especially useful when fishing for the last few damage to squeeze out a win. Transfusion is also less flexible, when you don't have a Crimson Disciple in play and/or don't have enough followers in play to get past opponent blockers, it ends up being a dead card or simply fuel for Get Excited!. Lastly, Statikk Shock is good for pinging opponent 1 health followers/champions, or 1-1's that would kill your followers such as Legion Saboteur or Legion Grenadier.

Below is quote from EG Swim, Source: https://mobalytics.gg/blog/best-legends-of-runeterra-decks/

General info:

Burn Aggro is exactly what the name implies: play units, hit face, then burn them down with spells. This deck either wins decisively or loses quickly so pick it up if you want fast and aggressive games.

How to play:

Burn Aggro relies on strong early game starts so that you can rely on top decking burn to close out the game.

Make sure to mulligan hard for 1 drops so that you can pressure slower decks that like to float mana the first two turns but Boomcrew Rookie is a card you can almost always keep in your opening hand.

Usually, you’ll want to save your axes as Get Excited! targets so you can hit more burn rather than an extra 1 damage. Used Cask Salesman is a card better utilized on defending turns to provide you additional chump blockers to win damage races.

Also, if you’re trying to use Noxian Fervor, make sure to wait for your opponent to be tapped out of removal, or for your unit to already be targeted by removal before going for it.

It’s important to be patient with Noxian Fervor unless forced to because you don’t have a lot of value or card draw so every point of burn counts.