I kept playing videogames the whole night.
I continued playing videogames the whole night.
I played videogames the whole night.
are all more common and more natural than "I stayed playing videogames the whole night." The word 'stayed" is more often used with something indicating state such as "stayed open" or "stayed angry", or with ...
Well, Frank Thomas has already answered in a comment but
According to the Cambridge Dictionary
someone who admires and supports a person, sport, sports team, etc
He's an avid football fan.
Just replace "football" by "baseball" in the example.
There is even a movie starring Robert DeNiro about a baseball lover titled The Fan.
If you are speaking literally, "in" usually carries the meaning of "surrounded by", or "completely enclosed":
"There's a fly in my soup."
"The dog is in the doghouse."
"I made an error in that sentence."
and "on" implies "attached to" or "touching":
"I wish I were a fly on the wall."
"They were on bikes."
"We put another coat of ...
Both are correct. It depends on what you are trying to say.
"The other" implies that there are already exactly 23 other speeches prepared.
"Another" implies that there could be any number more speeches and you are prepared to listed to only (or up to) 23 more.
Please also note that your title and main text do not align.
We are prepared to hear ...
Your sentence is correct as it stands. "Already" can be used with the present tense:
I am already in London.
I already play tennis, so I'd like to learn squash.
You could consider using the present perfect in your example:
You have to choose an hour that hasn't already been taken by someone else.
You could say:
Sorry to call so late, but we really need those TPS reports.
Sorry for keeping you up, the server went down and we need help getting it back up.
Hi Alice, I hope I didn't wake you, but aliens are invading and we're having some trouble finding the instructions for the anti-alien ray gun.
No, using to take is not a natural way of expressing one's college major in AmE. Note also that "college" is not capitalized unless it's part of the formal name of an institution (e.g., "Dartmouth College").
I took physics in college. This means that I enrolled in one or more physics classes, but leaves my major unspecified.
I majored in physics in ...
Because none of the others result in a grammatical sentence.
Gilbert Stuart is considered by most art critics that he was greatest portrait painter North America contains.
"that he was greatest" does not work, neither does "is considered ... that"
Gilbert Stuart is considered by most art critics as he was greatest portrait painter North America ...