scribu

Smart Archives Reloaded allows you to display a list of posts grouped by year and month. It also provides several interesting navigation elements.
Format list:
<ul>
<li>list = a list of posts grouped by month</li>
<li>block = a compact block of links to year and date archive pages</li>
<li>menu = a two-level menu with links to year and date archive pages</li>
<li>both = block + list (<a href="http://scribu.net/archive" rel="nofollow ugc">example</a>)</li>
<li>fancy = menu + list + JavaScript (<a href="http://www.conceptfusion.co.nz/archive" rel="nofollow ugc">example</a>)</li>
</ul>
No support
I do not offer support for this plugin, either free or paid.
Credits:
<ul>
<li><a href="http://justinblanton.com" rel="nofollow ugc">Justin Blanton</a>, for the original <a href="http://justinblanton.com/projects/smartarchives/" rel="nofollow ugc">Smart Archives</a> plugin</li>
<li><a href="http://www.conceptfusion.co.nz/" rel="nofollow ugc">Simon Pritchard</a>, for the fancy format</li>
</ul>
Links: <a href="http://scribu.net/wordpress/smart-archives-reloaded" rel="nofollow ugc">Plugin News</a> | <a href="http://scribu.net" rel="nofollow ugc">Author’s Site</a>

Smart Archives Reloaded

Easily display posts grouped by year and month, in one or more elegant formats

WPXPO

Jakir Hasan

Anik Biswas

Post Grid Gutenberg Blocks for News, Magazines, Blog Websites – PostX


Random posts can't be selected. You need to buy plugin to select such basic option.



Edit: Actually it can and free version has lots of useful options.


Useful plugin


This plugin nails it. It gives me powerful post-grid and block layouts without any complicated setup, and the results look clean and professional right out of the box. Performance stays smooth, compatibility with various themes is solid, and it’s obvious the developers care about quality and updates. Five stars without hesitation — highly recommended for anyone building a blog, magazine or content-heavy site.


Excellent plugin — Powerful yet easy to use

Design professional blogs with advanced Gutenberg blocks, premade templates, dynamic post grids, and smart filters.

Smart Archives Reloaded vs Post Grid Gutenberg Blocks for News, Magazines, Blog Websites – PostX