You’re spoiled for architectural sights around Odeonzplatz! Feldherrnhalle, or the Field Marshall’s Hall, was commissioned by King Ludwig I to honour his army and built between 1841 and 1844. The central sculpture was added in 1882 to celebrate success in the Franco-Prussian war, and the lions were added in 1906. The monument developed a different role under the Nazi regime; it was the site of the Beer Hall Putsch that saw Hitler land in jail and several of his sympathisers killed. When he took power, he made the Feldherrnhalle into a monument commemorating the 16 members of the Nazi party that had died.
Opposite Theatinerkirche, you’ll find the prestigious Residenz. Though it started as a modest castle in 1385, subsequent rulers continued to add to it, turning it into a grand palace and gardens. Today, it’s a vast complex of museums and exhibitions about Bavaria’s history, and also plays host to classical concerts and music competitions. Except for a handful of public holidays, it’s open daily until 17:00 or 18:00 depending on the season, but you can wander around the small public garden at your leisure.