latest, modern, new
classic, classical, old, old-fashioned, period, traditional
an old style of management

contemporary
The house has been renovated and furnished in contemporary style.

characteristic, distinctive, individual, inimitable, original, signature, typical, unique
her inimitable personal style

personal
musical, visual
acting, fighting, painting, playing, etc.
architectural
learning, teaching
leadership, management, managerial
house
a chain of bars which has developed its own house style
The New York Times house style keeps the apostrophe in for names of decades, e.g. ‘the 80's’.

political
literary, narrative, prose, writing
elegant, lively
flamboyant
a flamboyant style of dress

formal
casual
She was dressed in casual style.
a casual style of speech

conversational
The article is written in a conversational style.

aggressive
His aggressive style of play sometimes gets him in trouble.

autocratic
an autocratic style of leadership

18th-century, etc.
Gothic, Renaissance, etc.

range, variety
a wide range of musical styles

have
The two artists have radically different styles.

develop, establish, evolve, find, form
He evolved his style of painting while working as a magazine illustrator.

adapt, adjust, alter, change, modify
He adapted his acting style to suit the material.

adopt, use
copy, emulate, follow

sheet (computing)

in style
very utilitarian in style

in a/the style
The new houses have been built in a traditional style.

fine, great, real, terrific (esp. BrE)
certain

have
He has a certain style.

ooze
The whole house just oozed style.

add, give sb/sth

in style
They celebrated in style by popping open a bottle of champagne.
to arrive/go out/travel in style

with style
Whatever she did, she did it with style.

like sb's style
I like your style! It shows real courage.

a sense of style
his innate sense of style

a touch of style (esp. BrE)
Curtains add a touch of style to the room.