Stock for the stock the amaze put performs the sensation everywhere but battery life, I have them both and am undecided so I'm selling which ever one sells first. The amazes added ram seems to make a difference, the amaze is much faster, the better rear camera, front camera, NFC, internal storage and hspa+ 42 mbps. The amaze is where its at and it seems they may be on to something they were missing for development which was the WiFi drivers but who knows. I can say you can make some tweaks to make the sensation perform similiar in my experience running sense 3.6 ics on both devices the amaze seems better out of the box/fresh flash.
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Device list: HTC G1, HTC G2, HTC Sensation, HTC HD2, Samsung Vibrant, Samsung Galaxy S 4G, iPhone 3G
Current Device: HTC Sensation 4G