auspicious, bright (esp. BrE), decent, encouraging, excellent, fine, flying, good, great, impressive, promising, sound, strong, wonderful
Despite a promising start, we lost the game.

bad, disappointing, disastrous, poor, rocky, shaky, slow, sluggish, uncertain
running (esp. AmE), standing (both often figurative)
The space project went from a standing start to the moon in ten years.

false
After a couple of false starts, she found the job that suited her.

head (usually figurative)
All parents want to give their kids a head start in life.

fresh, new
early, late
very
right from the very start

make
I think it's time we made a start.

get off to
The company got off to an impressive start this year.

herald (esp. BrE), mark, signal

date, time
button, menu (computing), signal
I clicked the icon in the start menu.

line, point, position
The runners walked up to the start line.
Push through your heels to return to the start position.

at the start (of)
Everyone was in a conciliatory mood at the start of the meeting.

from the start
She felt at home in her new job right from the start.

prior to the start
He joined the team prior to the start of the season.

start to
The fine winter weather heralded a good start to the year.

start in
Moving to a good school gave Sally a fresh start in life.

be doomed from the start
The project was doomed from the start.

from start to finish
This is a thoroughly good book from start to finish.

suddenly
Her heart suddenly started to race.

immediately
just
He has just started at school.
At that point I just started to hate the man.

already
off, out
We'll start off by doing some warm-up exercises.

up
She started up a conversation with the woman sitting next to her.

again, all over again, over (AmE)
We'll just have to start all over again.

decide to, expect to, hope to, intend to, plan to, want to
be due to, be expected to, be scheduled to, be supposed to
Work is due to start this weekend.

be ready to
By early evening he was ready to start work.

be about to, be going to
A new term was about to start.

had better, have to, need to
You'd better start packing if you're to leave early tomorrow morning.

as
It started as a hobby and grew from there.

by
Let's start by reviewing what we did last week.

from
Start from the beginning and tell me exactly what happened.

on
I've finished decorating the bathroom, so now I can start on the bedroom.

with
Let's start with this first piece of music.

get (sb/sth) started
It's already late, so I think we should get started.

a good, great, etc. place to start
If you want to learn about frogs, this book is an excellent place to start.

let's start
start from scratch
I'll have to start again from scratch.

time to start sth
It's time to start thinking about next year.

Start is used with these nouns as the subject:
ban, bombardment, campaign, car, career, decade, engine, enquiry, exam, expedition, festival, fight, fighting, fire, friendship, idea, letter, meeting, movie, negotiation, pain, period, plague, process, rain, recession, riot, season, semester, shift, siren, story, strike, talk, tear, trail, train, trouble, war, work, year

Start is used with these nouns as the object:
argument, ascent, band, blaze, blog, bonfire, brawl, business, campaign, car, career, club, collection, college, company, construction, conversation, council, craze, crusade, cycle, day, debate, deliberation, descent, dialogue, diet, discussion, engine, enquiry, enterprise, evening, family, farm, fashion, feud, fight, fire, firm, foundation, fund, grade, group, high school, hobby, ignition, industrial action, initiative, job, kindergarten, league, lesson, life, machine, magazine, meeting, mess, motor, movement, negotiation, paragraph, period, petition, phase, playgroup, practice, preparation, proceedings, process, production, programme, project, reaction, rebellion, regime, regimen, restaurant, revolution, riot, romance, round, rout, routine, rumour, scheme, school, search, season, session, smoking, society, stint, strike, talk, tape, task, thread, tradition, trend, trouble, venture, war, work