Elliott Richmond

Sometimes handing your site over to clients or when you run a site with multiple users if can be a pain to explain how your 
users can create their own profile picture for comments or any other custom functionality that uses the get_avatar() function.
Before they would have to create a global Gravatar account which is fine if that’s what you want however, with this plugin there 
is no need to rely on your users having a Gravatar account.
This plugin will allow the users on your WordPress site to upload their own Profile Picture through the Media Library either by Uploading a new file or choosing one from the Media Library.

Tismy User Profile Upload

Upload your own user profile picture rather than falling back to the default or having your users create a Gravatar account.

Jason Coleman

Paid Memberships Pro

Jared Atchison

<h4>Add an avatar upload field on frontend pages and Edit Profile screen so users can add a custom profile picture.</h4>
Community and Membership sites on WordPress use this plugin as a lightweight solution for custom user avatars. The plugin is compatible with bbPress, as well as many popular plugins with frontend user registration and profile management features.
Admins can upload a user’s avatar on the Edit User admin screen.
Basic User Avatars also supports front-end avatar management for sites that want to keep users out of the dashboard. To use this feature, add the shortcode <code>[basic-user-avatars]</code> to any page in your WordPress site. We recommended placing this shortcode on another logged-in account type page, such as the WooCommerce My Account page, the Membership Account page, or any other front-end profile edit form.
The Avatar Upload form is automatically added to the bbPress User Profile > Edit frontend page.
If you do not want your users to be able to update their avatar, navigate to Settings > Discussion and locate the “Local Avatar Permissions” setting. Check this box to only allow users with file upload capabilities to upload local avatars (Author role and above).
<h4>Seamlessly Migrate from WP User Avatar Plugin</h4>
Version 1.0.5 includes a feature to automatically convert avatars formerly loaded through the WP User Avatar plugin. This means that you can disable WP User Avatar, activate Basic User Avatars, and have a seamless transition for existing avatars in your site. Be sure to update any avatar upload form that used the <code>[avatar_upload]</code> shortcode to use the shortcode: <code>[basic-user-avatars]</code>.

Basic User Avatars

it may have been around for a while but this plugin still works well

still works with WP4.9.1

Add an avatar upload field on frontend pages and Edit Profile screen so users can add a custom profile picture.

Tismy User Profile Upload vs Basic User Avatars