Known Brewfest Quests for Alliance (list in progress). Most quests rewards Brewfest Prize Tickets that may be redeemed for souvenirs.

Brewfest!
Pick up: In any major city from Brewfest patron.
Turn in: Ipfelkofer Ironkeg, Brewfest Organizer (dwarf) @ Brewfest location
Description: Speak to Brewfest Organizer, recieve free drink (mana) with +stm +spr 30 min buff.

Welcome to Brewfest!
Pick up: Ipfelkofer Ironkeg (dwarf) @ Brewfest location
Turn in: Ipfelkofer Ironkeg (dwarf) @ Brewfest location
Description: free beer.
Reward: Beer drinks (mana), 3 types, with stam and spr buffs.

Catch the Wild Wolpertinger!
Pick up: Goldark Snipehunter (dwarf), near by Ipfelkofer.
Turn in: Goldark Snipehunter (dwarf), near by Ipfelkofer.
Description: Use Net (quest item) to capture 5 stunned Wolpertingers.
Rewards: Wolpertinger’s Tankard (a non-combat invisible Wolpertinger pet)

Pink Elekks On Parade
Pick up: Goldark Snipehunter (dwarf), near by Ipfelkofer.
Turn in: Goldark Snipehunter (dwarf), near by Ipfelkofer.
Description: Use gnomish zapper (quest item) to zap pink elekks in the beer gardens at Stormwind, Darnassus, and Exodar. Must be drunk to see the elekks.
Rewards: 40 Brewfest Prize Ticket

Now This is Ram Racing… Almost.
Pick up: Neill Ramstein (dwarf), west side of Brewfest location
Turn in: Neill Ramstein (dwarf), west side of Brewfest location
Description: Pick up [Ram Racing Reins] from Pol Amberstill (dwarf), stands next to Neill Ramsteing by talking to him and asking, “Say, you wouldn’t happen to have an extra set of reins…” Ride ram. There are 3 speeds. Use the reins to go faster, and periodically time usage of reins to maintain each speed. If you go top speed, the ram gets fatigued (measured on 1-100 debuff). To reset debuff, pass a bucket of apples. If ram debuff reaches 100, ram will fatigue and a slow debuff will appear thus making the ram walk slowly for a few seconds. Maintain each speed for 8 secs.
Rewards: None. Opens up additional Brewfest quests.

[Quest name unknown: 3 barrows turn in]
Pick up: Neill Ramstein
Turn in: Neill Ramstein
Description: Ride a ram to Kharanos. Run by a female dwarf who will toss a barrow to you; you will catch it automatically. Ride back near Neill, there will be an npc named Pol Amberstill located next to Neill, who will automatically take the barrow. Same riding rules as before: use [Ram Racing Reins] to speed up ram, and pass by apple crates to reset fatigue debuff on ram.
Reward: [unknown]

Bark for the Barleybrews!
Pick up: Becan Barleybrew, located near east-south side of Brewfest location.
Turn in: Becan Barleybrew, located near east-south side of Brewfest location.
Description: A ram mount is provided with same ram mount speed rules. Ride ram to Ironforge, circle the flags near the bank, Military Ward, Hall of Explorers, and Mystic Ward. Complete this in 4 minutes. Must use ram mount as provided.
Rewards: 15 Brewfest Prize Ticket

Bark for the Thunderbrews!
Pick up: Daran Thunderbrew, located near east-north side of Brewfest location.
Turn in: Daran Thunderbrew, located near east-north side of Brewfest location.
Description: A ram mount is provided with same ram mount speed rules. Ride ram to Ironforge, circle the flags near the bank, Military Ward, Hall of Explorers, and Mystic Ward. Complete this in 4 minutes. Must use ram mount as provided.
Rewards: 15 Brewfest Prize Ticket

Dark Iron Dwarf Attacks (not a quest, but rewards 1 [Brewfest Prize Ticket] per target hit)
Description: When Dark Iron Dwarfs attack, hit them with a Brewfest Sampler. Every successful hit yields one prize ticket.
How to:
/wave to a brewmaiden or brew barker (names: Maeve Barleybrew (dwarf), Ita Thunderbrew (dwarf), Gordok Brew Barker (orge))
a npc will toss you [Complimentary Brewfest Sampler] (conjured item, duration: 15 min) - will appear in inventory
Click on icon to toss (will toss directly in front of you at a set distance) (Will show cast “Drink”)
Npc will toss you another Sampler (generall will say “you create: [Complimentary Brewfest Sampler]