I just updated a clients WordPress website to 4.5.2 this evening and immediately experienced database errors around the category listing.
The wp-termmeta table was missing.
Thankfully if you can get into phpmyadmin, the fix is simple. Select the database, click on “SQL” and run this
CREATE TABLE IF NOT EXISTS
meta_id bigint(20) unsigned NOT NULL,
term_id bigint(20) unsigned NOT NULL DEFAULT '0',
meta_key varchar(255) COLLATE utf8_unicode_ci DEFAULT NULL,
meta_value longtext COLLATE utf8_unicode_ci
) ENGINE=MyISAM DEFAULT CHARSET=utf8 COLLATE=utf8_unicode_ci;
Change the wp_ as necessary!