foreign (esp. BrE), international, national, nationwide, overseas, world
American, European, UK, etc.
two-city, three-country, etc.
The group will shortly go on a ten-city European tour.

whirlwind, whistle-stop
The band completed a whirlwind tour of North America in two months.

gruelling/grueling, lengthy, long
official
the couple's first official overseas tour

grand
He took his degree in 1665 before embarking on the grand tour (= a tour of Europe lasting several months).

package
an all-inclusive package tour of Austria

mystery (= where the destination is not known)
We set off on a magical mystery tour in search of tea.

bike (esp. AmE), bus (AmE), coach (BrE), cycle (esp. BrE), walking
camping
cricket, rugby (both BrE)
pro, senior (both in golf)
book, concert, lecture, speaking, study, theatre/theater
sell-out (esp. BrE), sold-out (esp. AmE), successful
The band is just back from a sell-out Asian tour.

comeback, farewell, reunion
Simon and Garfunkel's 2003 reunion tour

promotional, publicity
a promotional tour for her new book

leg, part, stage
He was now on the last leg of his book tour.

do, go on, make, undertake (esp. BrE)
embark on, set off on (esp. BrE)

company, operator
date, schedule
details of the band's tour dates

stop
leader, manager
Our tour leaders are all fluent in English.
The team's tour manager called a press conference.

party, squad (both BrE)
He wasn't selected for England's tour party to Australia.

player, pro (both in golf)
bus, van
Dolly Parton's tour bus

on (a) tour
We met a group of Italians on a tour in Peru.
The band is currently on tour in the States.

tour of
I'd like to do a tour of Belgium on foot.

tour of duty
The soldiers were returning from a six-month tour of duty in Afghanistan.

brief, quick
Our host gave us a quick tour of the house.

extensive
grand (humorous)
Come on, I'll give you the grand tour of the backyard.

conducted, guided, self-guided
bus, helicopter, etc.
an open-top bus tour of the city

city, factory
sightseeing
ghost
She takes tourists on ghost tours of Edinburgh.

virtual
A virtual tour is available on the Web.

do, make
I made a quick tour of the office to say goodbye.

conduct, lead
give sb, take sb on
arrange, organize
offer
Garden tours are offered throughout the summer.

guide
group
boat, bus, etc.

tour of inspection
The boss started his tour of inspection with my office.