Lakewood Yeshiva is actually called BMG – Beth Medrash Govoha. I can think of other yeshivas that only go by a name, and not yeshiva, such as Brisk, Ponovezh, Mikdash, etc… to name just a few.
As for Ukraine, the country actually stands for the Ukrainian Declaration of Independence and Constitution, so it’s “The Ukraine” for short. Although many people just call it Ukraine. Other countries referred to as ‘the’ include Congo, Gambia, Yemen, Lebanon, Sudan, Netherlands, Philippines and Bahamas.