Blur object background
I'd like to see a blur option where objects behind an object appear blurred such as in the attachment. This is something that, I believe, can be achieved in CSS so it would be good to have the ability to use such an effect in Illustrator.

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This one about motion blur should be upvoted too:
https://illustrator.uservoice.com/forums/333657/suggestions/32403883 -
RoyBoy commented
Add ‘Blur background’ feature like XD, including outer and inner shadow
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Anonymous commented
add background blur like adobe xd
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Olivier Robert commented
This should be upvoted a lot. This effect is now supported in all major browser using CSS (see backdrop-filter) and is an effect broadly used in today's modern design.
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This concept could be broaden to 'Allow separate transparency masks for each appearance item'. This will give what you request and more, without breaking existing paradigm.