Vladimir Putin seems to get himself into a lot of places. The Presidency of Russia, European energy policy, and the nation of Georgia, just to name a few. I doubt though, that he'd have ever anticipated starring in a Japanese H-game
Enter ALcot-developed My Girlfriend is the President! to fill that burning need to have world leaders moefied. Russia's (or rather "Rusia's") fair-haired, shapely ruler is "Elena Vladimirovna Putin," whose name is apparently mashed together from that of a pre-revolution Grand Duchess and that of the motherland's current Prime Minister. Ms. Putin stands a stately 160cm tall, was born on October 7th, and likes "manly men."
In the long view, however, My Girlfriend is the President!'s premise is rather apolitical. According to Akiba Hiroi's translation, the protagonist wakes up one day to find that he lives next to the White House, and that his childhood friend, Ms. Obama (that's a real Japanese surname), is now the President of Nippon. Apparently, aliens seeking to establish peaceful relations with Earth accidentally crashed their spaceship into various government buildings, killing all of Japan's government officials.
Seeking to repair the damage, the aliens brainwash the nation into thinking that Ms. Obama is the head of state. Unfortunately, their lack of knowledge about Japan's government leads them to establish a Presidential rather than Parliamentary system. The protagonist is declared Vice-President and, presumably, sex happens. It is unknown as to what role "Rusia"'s leader will play. I'm thinking tsundere.