Hi Jay,
Thank you for asking.
Just asking, are you comfortable with code? It can be done with a few lines of code, It has nothing to do with BP Magic theme but BuddyPress pages are not the actual pages(It resets data early), so most plugin fail at detecting that.

If you are comfortable wit code, I will post a snippet quickly.

Thank you
Brajesh

Hi Jay,
Thank you. I will post the code in an hour.

Hi Jay,
Thank you.
Please find the code below.

you can put the code in your bp-custom.php or your theme’s functions.php (I will prefer bp-custom.php )

/**
 * Make a site Private, works with/Withouthg BuddyPress
 * 
 * @author sbrajesh
 * @global string $pagenow
 * 
 */
function buddydev_private_site() {
	
	//first exclude the wp-login.php
	//register
	//activate
	global $pagenow;
	
	//do not restrict logged in users
	if( is_user_logged_in() ) {
		return ;
	}
	//if we are here, the user is not logged in, so let us check for exclusion
	//we selectively exclude pages from the list
	
	//are we on login page?
	if( $pagenow == 'wp-login.php' ) {
		return ;
	}
	
	
	$exclude_pages = array( 'register', 'activate', 'alphabeta' );//add the slugs here
	
	//is it one of the excluded pages, if yes, we just return and don't care
	if( is_page( $exclude_pages ) ) {
		return ;
	}
	
	$redirect_url = wp_login_url( site_url('/') );//get login url,
	
	wp_safe_redirect( $redirect_url );
	exit( 0 );
}

add_action( 'template_redirect', 'buddydev_private_site', 0 );

You can exclude any page by using the slug, It will work irrespective of the fact that BuddyPress may or may not be active.

Please do check and let me know if that worked for you or not?

Hi Jay,
I am sorry, I overlooked the homepage exclusion. I have updated the code below. Please update and check if this works.

/**
 * Make a site Private, works with/Withouthg BuddyPress
 * 
 * @author sbrajesh
 * @global string $pagenow
 * 
 */
function buddydev_private_site() {
	
	//first exclude the wp-login.php
	//register
	//activate
	global $pagenow;
	
	//do not restrict logged in users
	if( is_user_logged_in() ) {
		return ;
	}
	//if we are here, the user is not logged in, so let us check for exclusion
	//we selectively exclude pages from the list
	
	//are we on login page?
	if( $pagenow == 'wp-login.php' ) {
		return ;
	}
	
	//let us exclude the home page
	if( is_front_page() ) {
		return ;
	}
	
	$exclude_pages = array( 'register', 'activate', 'alphabeta', 'groups', 'members' );//add the slugs here
	
	//is it one of the excluded pages, if yes, we just return and don't care
	if( is_page( $exclude_pages ) ) {
		return ;
	}
	
	$redirect_url = wp_login_url( site_url('/') );//get login url,
	
	wp_safe_redirect( $redirect_url );
	exit( 0 );
}

add_action( 'template_redirect', 'buddydev_private_site', 0 );

Thank you
Brajesh