mort3n

This plugin lets you have a normal site Homepage for visitors while logged-in users have their BP Profile as Homepage. This is similar to Facebook. The redirection can be disabled for a particular role.
** When a user logs in, (s)he is redirected to the BP Profile.
** When a logged-in user goes to the site Homepage, (s)he is redirected to the BP Profile.
** When a user logs out, (s)he is redirected to the site Homepage.
The plugin is successfully tested with WordPress 3.6 and BuddyPress 1.8.1
Note: This plugin is a fork of the excellent plugin https://wordpress.org/extend/plugins/bp-profile-as-homepage/ by Jatinder Pal Singh. This fork updates and improves the code in a variety of ways.

BP Profile as Homepage Fork

This plugin lets you have a normal site Homepage for visitors while logged-in users have their BP Profile as Homepage. This is similar to Facebook.

danielbolander

This WordPress Plugin fixes 404 Errors in Google Webmasters by Redirecting all 404 URLs to Home Page or a Custom URL.

Redirect 404 to Home Page – Custom URL

Great Plugin

This Wordpress Plugin fixes 404 Errors in Google Webmasters by Redirecting all 404 URLs to Home Page or a Custom URL.

BP Profile as Homepage Fork vs Redirect 404 to Home Page – Custom URL