Also any shows for a reasonable price that we could catch on Friday night?
Yeah, like the other guy said, you are staying at the heart of the strip so there's plenty there.
There used to be a same-day tickets place right under the pedestrian overpass that goes between MGM and NYNY. You could buy tickets same day for shows at half price or better. I'm pretty sure that its still there, but if not, I'm sure its just moved to a different location...ask a cabby or the concierge at your hotel.
All major casinos inter-comp shows if you're gambling and spending decent money, the Flamingo is no exception as its owned by the same company that owns the Rio and a bunch of other casinos around Vegas and worldwide. Just make sure to sign up for a club membership (free) at the casino and have them track you. The more you spend, the more they comp, regardless of if you're winning (or not, obviously).
On that note, its kinda dumb to not gamble on a club card. Even if you don't come back for a while, they'll send you free stays, free points for your next trip, etc... The Flamingo's parent company owns casinos in Mississippi, Louisiana, Illinois, New Jersey, and I'm sure I'm missing somwhere, but the point is, milk the casino for all their worth because they do the same.
Oh, and don't call direct from a hotel room phone....Vegas, not unlike other places, rips you off if you use the in-room phone.