見舞う（みまう）：Usually means to visit someone (especially if they are sick or are in the hospital), but can also mean "to be hit with X or suffer X."
Last year this area was hit with a water shortage.
詳しい（くわしい）：Detailed; familiar with X, be knowledgeable of X.
Wow, he knows all there is to know about Japanese pro baseball.
少なくとも(すくなくとも）：At (the (very)) least; not less than X; easily.
He's at least 180 centemeters (tall), right?
He's easily 180 centemeters (tall), right?
That high school kid is the so-called Handkerchief prince.
排他的（はいたてき）：Exclusive, members only
Getting into this kind of exclusive club is tough.
舐める（なめる）：Lick; experience; look down on; underestimate
When I was a kid, I was looked down on for being bad at sports.