Winchester Self-Loaders
Back at the turn of the last century, Winchester had an entire family of self-loading rifles. They were all straight blowback actions. There was the Mod 1903 .22 (not.22LR), then there were the Mod 1905, 1907 and 1910 centerfire guns in .32 WSL (Winchester Self Loading), .351 WSL and .401 WSL calibers respectively.
The 1903, introduced in 1903, was a rimfire that fed trough a tube in the buttstock. The '05, '07 and '10 were centerfire and fed from a 'normal' detachable magazine. All calibers were straight-walled cases and of medium velocity. I don't know of the ballistics of the other calibers, but the .401 expelled a 210grain .405" dia bullet at around 1900fps. I still have a half a box of Remington JSPs.
My father had a Mod 1910 he had used for deer as a teen back in the '40s.
As an interesting aside, the .32WSL caliber was the rough basis for the .30 Carbine round, also developed by Winchester.