Burris Fullfield II 3-9x40mm.
I wouldn't recommend this one for a rimfire. I bought one of these for my 10/22 target model. It's an excellent scope (Currently resides on my Winchester M70). However the parallax issue becomes noticeable very quickly when you're trying to do any accuracy work.
If you look at the top targets pictured on this thread, you'll see the Point of Impact wanders. No matter how good your sight picture is, you'll still get this. Also at 20 yards 6x will be the highest mag that you can dial in before the sight picture gets blurred.
http://www.canadiangunnutz.com/forum/showthread.php?t=198975&highlight=rimfire+questions+answered
I should add that I use a fair number of Falcon scopes for my semi auto rimfires (4-14x FFP and 4.5-18x), Leupold EFR 6.5-20x for the varmint/target bolt actions and will eventually get either a Leupold Or Sightron II 36x for the Annie.
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