gerund vs infinitive+be+ing

Be+....+ Ving

 be happy	I'm quite happy doing what I'm doing (LDOCE). We were quite happy living in Africa. (but! I’m happy to leave it till tomorrow).
 be prone to	Such situations are of course prone to fostering attitudes in teachers that tend to see students as inferior partners. He's prone to forgetting things. (but! Tired drivers were found to be particularly prone to ignore warning signs. Kids are all prone to eat junk food).
be / get accustomed to	He got accustomed to accustomed to walking long distances.
be / get used to	I didn’t think I could ever get used to living in a big city after living in the country.
be busy	We're all busy preparing for Christmas. I was so busy worrying about Julie that I didn't even think about Jake.
It's no good / use	It's no use complaining - they never listen. It's no good trying to persuade her to come with us.
There's no point (in)	I could see that there was no point (in) arguing with
be required	His poems are now required reading on most literature courses.
be worth	be worth doing/having/seeing etc: The book is definitely worth reading. We believe that our freedom is worth fighting for.

1  = одно значение, разное управление

2 Slow Train Through Viet Nam's War by Howard Sochurek

3 Appear is a slightly more formal word than seem

4  = разные значения, разное управление

5 come running/flying/rushing/crashing etc somewhere

6 from P. Gallico

7 that decides me! — решено!

8 чрезвычайно редко встречается с герундием! Иллюстрация из OALD.

9 подумать только!

10 скромность не позволяет…

11 (LDOCE)

12 if an action, event, or situation goes to do something, it helps to do it

13 ^{go around or go about or go round [intransitive] to behave or be dressed in a particular way: Why do you always go around without any shoes on?}

14 ^{to start dealing with a problem, situation, or job in a particular way:}

15 ^{it meant he would have to give up his control. In the end, he finally agreed.}

16 ^{— Когда я уходил, он работал в саду.}

17 ^{—Understanding & Using English Grammar by Betty Azar, p. 311}

18 offer someone something: We'll be happy to offer you all the assistance (noun) we can. They haven't offered ME the job yet. or Offer sth TO smb: He had offered cocaine to an undercover police officer.

19 Cambridge Advanced Learner's Dictionary

20 used for telling other people about a surprising, embarrassing, or annoying thing that someone has done

21 promise someone (that): Promise me you'll be home before dark. We always promised ourselves that we'd visit Hawaii one day.

22 refuse someone something: Judge Mackey refused the defendant the right to appeal.