There is no option to adjust the dead-zone of controllers in Minecraft. As such, the stick drift is just about unbearable and has killed me in the nether multiple times. It would be nice if we could get an adjustment "slider". My controller is not very old and I only notice the drift in Minecraft.
Thank you for your report!
We're actually already tracking this issue at MCPE-27451, so I will resolve and link this ticket as a duplicate.
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