A Must-use plugin to filter active plugins in on a per-page basis.

plugin-filter.php

<?php

add_filter( 'option_active_plugins', 'test_blacklist_unneeded_plugins', 40 );

function test_blacklist_unneeded_plugins( $plugins ) {
    // We don't apply blacklisting to logged in users to prevent plugin deactivation
    if( isset( $_SERVER['HTTP_COOKIE'] ) && is_user_logged_muplugin() ) {
        return $plugins;
    }

// returns the path of the request URI without the query string
// see http://php.net/manual/en/function.parse-url.php
// and http://php.net/manual/en/reserved.variables.server.php
// and http://php.net/manual/en/url.constants.php
    $request_uri = parse_url( $_SERVER['REQUEST_URI'], PHP_URL_PATH );
    $query = $_SERVER['QUERY_STRING'];
    
    $is_admin = matchesAt( $request_uri, '/wp-admin/' );
    $is_homepage = ('/' === $request_uri) && (strpos( $query, 'preview' ) == false);

    $homepage_blacklisted_plugins = [
        'akismet',
        'amp',
        'facebook-comments-plugin',
    ];
    $single_post_blacklisted_plugins = [
        'layered-popups',
    ];

    if($is_homepage) {
        return filter_array( $plugins, $homepage_blacklisted_plugins );
    } elseif( !$is_admin ) {
        return filter_array( $plugins, $single_post_blacklisted_plugins );
    }

    return $plugins;
}

function matchesAt( $tested_string, $match_lookup, $position = 0) {
    return $position === strpos( $tested_string, $match_lookup );
}

function filter_array( $input_array, $blacklist_array ) {
    return array_values( array_filter( $input_array, function( $input_value ) use ( $blacklist_array ) {
        return empty( array_filter( $blacklist_array, function( $blacklisted_item ) use ( $input_value ) {
            return matchesAt( $input_value, $blacklisted_item );
        }) );
    }) );
}

function is_user_logged_muplugin() {
    $cookies_regex = '/' .
        'wordpress_sec_(?P<hashsec>[0-9a-f]+)=(?P<usersec>[0-9a-z_.\-@]+)' .
        '.*' .
        'wordpress_logged_in_(?P<hashlog>[0-9a-f]+)=(?P<userlog>[0-9a-z_.\-@]+)' .
        '|' .
        'wordpress_logged_in_\k{hashlog}=\k{userlog}' .
        '.*' .
        'wordpress_sec_\k{hashsec}=\k{usersec}' .
        '/';
    if( preg_match($cookies_regex, $_SERVER['HTTP_COOKIE'], $cookies_user) ) {
        if( $cookies_user['hashsec'] === $cookies_user['hashlog'] &&
            $cookies_user['usersec'] === $cookies_user['userlog'] ) {

            return true;

        }
    }
}

I've added in revision 3 a function to check if user is logged in with secure cookies to don't blacklist any plugin because it causes deactivation on some requests. Also the preview of unpublished posts could cause shortcodes and other features being unavailable even on frontend.