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.

BettyJJ

<h4>Main features of the plugin:</h4>
<ol>
<li>It supports multi-byte language (such as Chinese). It will not produce gibberish as some other excerpt plugins do.</li>
<li>The html tags in the original posts, i.e., the font styles, colors, hyperlinks, pictures and such are preserved in the excerpt.</li>
<li>For better readability, it displays 300 characters for each post on the homepage and 150 characters for each post on archive pages.</li>
</ol>

WP-UTF8-Excerpt

This plugin generates a better excerpt for multi-byte language users (Chinese, for example). Besides, it keeps the html tags in the excerpt.

BP Profile as Homepage Fork vs WP-UTF8-Excerpt