A furious kickboxer, Bryan is known for his oppressive, fast-paced kicks and punches. Your main strategy with Bryan should revolve around spamming b+2+1 (back + right punch + left punch). Just don’t leave your opponents time to react: quickly block any of their mids or lows.
Most players will have no idea how to resist a strong bully like Bryan and will quickly give up. The only other character that could withstand Bryan is King, so keep that in mind.
Also, check out his Rage Art (down/forward + left punch + right punch) if you want to experience Bryan’s intensity: