WEN Solutions

Archives are categorized under category name and date. It filters archives based on the category and clicked date when they are being displayed in archives page. Archives page will only show posts from the clicked date and also the posts that belong to that category. So, all in all there will be two filters while viewing archives page.
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The image shown on the banner is my own creation which is CC0 and is free to copy, share or modify.

Archives by Category and Date

This plugin shows archives in a categorized way that is archives are categorized under category name and date.

Ashley

Expanding Archives adds a widget that shows your old posts in an expandable/collapsible format. Each post is categorized under its year and month, so you can expand all the posts in a given month and year.
This plugin comes with very minimal CSS styling so you can easily customize it to match your design.
JavaScript is required. No IE support.

Expanding Archives

This plugin adds a new widget where you can view your old posts by expanding certain years and months.

Archives by Category and Date vs Expanding Archives