excellent, good, interesting, valid
important
minor
subtle
moot
central, critical, crucial, key, major, salient
controversial
sore
This was a sore point for Hemingway.

action
The committee recommended a number of action points to avoid such problems in the future.

talking
The possibility of an interest rate cut is a major talking point in the City. (BrE)
Senate Democrats issued these talking points. (AmE)

final
I do agree with her final point.

have
She has a point.

see, take
I see your point.
Point taken.

concede
address, cover, make, raise
He covers the key points in his introduction.
She made some interesting points.

argue, discuss
They argued the point for hours.

illustrate
get across, make, prove
He had trouble getting his point across.
That proves my point.

clarify
belabour/belabor (esp. AmE), drive home, emphasize, hammer home, highlight, labour/labor (esp. BrE), press, reinforce, reiterate, stress, underline, underscore (AmE)
She banged on the table to emphasize her point.
I understand what you're saying—there's no need to labour/labor the point.

a case in point (= an example relevant to the matter being discussed)
the point at issue
a point of agreement, a point of disagreement
a point of law

basic
The basic point is that …

come to, get to
Hurry up and get to the point!

get
It took me a few minutes to get the point.

miss
wander from, wander off (both esp. BrE)

beside the point (= not relevant)
That's beside the point.

to the point
His remarks were brief and to the point.

more to the point (= what is more important)
More to the point, did they get away?

whole
That's the whole point.

have
It doesn't have any point to it.

see
I don't see the point in arguing.

get, understand
I didn't get the point of the story.

point in, point of
There's absolutely no point in complaining now.
What's the point of worrying?

finer, good, strong
We discussed the finer points of growing roses.

bad, weak
salient
selling
the major selling point of the line

a point of difference
There is only one point of difference between the two models.

a point of interest

high, low
He had reached the high point of his career.

halfway
by the time the movie has reached its halfway point

breaking, bursting, saturation
to fill a bag to bursting point

jumping-off
jumping-off points for further research

break-even
well below its financial break-even point

plot
from one improbable plot point to another

boiling, freezing, melting
critical
This is definitely a critical point in my life right now.

choke (AmE), sticking
The choke point was overcoming the social issues.
a sticking point in the potential deal

flash
Their anger finally reached the flash point.

get to, reach
I've reached the point (= in a book, etc.) where his father is dying.

come
There comes a point in most people's lives when they want to settle down.

at a/the point
At one point he looked like winning.

on the point of
on the point of departure

to the point of
We worked all night to the point of collapse.

up to a point
I agree with you up to a point.

a point in time
At this point we can't give you a final answer.

the point of no return (= after which it is impossible to go back/undo what you have done)

central, focal
the focal point of his life

fixed
beginning (esp. AmE), starting
This website is an excellent beginning point for any pianist.

ending, stopping
the starting and ending point for most safaris
one stopping point on their tour of the shrines

halfway, midway
a convenient midway point between Memphis and St. Louis

access, entry
an excellent access point into Glacier National Park

assembly, rallying
meeting, rendezvous
crossing
Baja California is the crossing point for most illegal immigrants to the US.

vantage
reference
pivotal, turning
This proved to be the turning point of the game.

tipping
The technology has reached a tipping point.

cut-off
vanishing
price (business)
The product sold at about a $100 price point.

acupuncture, pressure
Acupuncture points are believed to stimulate the central nervous system.
pressures points on the foot

arrive at, reach
provide
The book provides a focal point for such discussions.

a point of contact
a point of reference

decimal
exclamation (AmE)
bullet
Break up your text with bullet points.

match, set
It's set point to Nadal.

bonus
Name the film and, for a bonus point, name the actress.

tally
a personal tally of 28 points

accumulate, earn, gain, get, notch (AmE), notch up, rack up, score, tally (AmE), win
After players accumulate enough points, they may exchange them for a wide variety of merchandise.

average
She's averaged 19 points per game in her last seven games.

lose
award
Points are awarded to the winner of each round.

deduct
I'm deducting a point from the total score.

beat sb on points, win on points

basis, percentage
The ten-year Treasury yield declined 9 basis points to 4.0%.
Interest rates fell by one percentage point.

be up, go up, improve, increase, jump, rise, shoot up, soar
The Nikkei index rose 710 points to 14894.
His popularity rose by 18 points in public opinion polls.

be down, come down, decline (esp. AmE), decrease, drop, fall, go down, plunge
The CAC-40 index is down 67 points at 4413.

about five, ten, etc. points, around five, ten, etc. points
only five, ten, etc. points
The index was down only 4.6 points at the close.

over five, ten, etc. points
up to five, ten, etc. points
an improvement of five, ten, etc. points, an increase of five, ten, etc. points, a jump of five, ten, etc. points, a rise of five, ten, etc. points
The target is for an average rise of two points a year from 2010 to 2020.

a drop of five, ten, etc. points, a fall of five, ten, etc. points, a reduction of five, ten, etc. points

fine, sharp