Answers revealed in the comments.
GAME 1
Based on number of locations worldwide, the list of the top ten largest fast food restaurant chains contains three companies known for pizza. One is Hunt Brothers Pizza (seen commonly in gas stations). Name the other two.
GAME 2
There are only three countries with flags that consist solely of a solid-color circle on a solid-color background. One of them is Japan, with a red circle on a white background. Name one of the other two.
Game one answers:
Pizza Hut
Dominos
GAME 2 answers:
Bangladesh
Palau