يقصد بالسياحة المسلمون يتوجهون إلى الأماكن المقدسة سواء في الحج والعمرة أو زيارة المزارات

In the south of Europe is related to the muslim heritage. Cities like Cordoba, Sevilla or Granada are part of them.

When I read your question, the first thing that came to my mind was tourism associated with Muslims traveling to Saudi Arabia, specifically to Mecca and Medinah. I lived and worked in Saudi Arabia for 2 years and any discussion regarding the advancement of tourism within the country was specifically for pilgrims making their way to Mecca. Therefore, my response is probably more narrow than the other ones you may receive.

Muslim tourism brought an image of Muslim historic sites, in subcontinent, and that led me to think about Spain and turkey, different Masjid in these places

Off the top, I think of tourism in Islamic cultures and historical sites.

Yes, I agree.  Muslim tourism, to me, is tourists visiting Muslim sites, not Muslims as tourists.  Tourists are tourists, regardless of their religion. 

So a trip to Rome, especially the Vatican is out!   ;) 

It does not focus only the places which are known as muslim countries, cities but also how muslim behave as a muslim such as how do they perform their solat during their journey 

This might be off topic, but there are lots of Arabic Muslims coming to Germany and Austria in Summer. This is because Summer is not as hot as in Arabic countries. In Munich for example often their stay is used to get medical treatments. In Austria there is a small city which seems to be very popular and well knows: Zell am See. Certainly, this should rather be called Arabic tourism, and it is attached to a privileged class.

Thank you everyone for the overwhelming responses. Due to my literature reviews, Muslim tourism historically referring to pilgrimage journey to Mecca and Medinah which involve those Muslims who capable to perform Hajj and Umrah. In a new world today, Muslim tourism is seen as one trip (travel) to appreciate the greatness creations of Allah swt. But at the same times, Muslim are obligated to obey Shariah of Islam (with good intention of travel, get Halal foods, perform 5 times prayer etc) and avoid any wrongdoings. However, Muslim tourism is not restricted only for Muslim tourist, it also try to attract non-Muslim tourists in order to share the cultures, norms and values of Muslim people. The place of interest to visit including Mosques, Islamic villages, Islamic civilization areas, flora and fauna and also any other suitable places as long as we follow Shariah compliance. What do you guys think of this? 

Somehow it sounds a bit strange when you refer 'Muslim tourism' to pilgrimage, because terminologically, tourism (in one definition) is 'the activity or practice of touring, especially for pleasure'. Whilst the discussion on the feeling of pleasure in Islam can also have relation to religious activities, in order for someone to experience religious pleasure he has to have (in my understanding) high level of religious knowledge and understanding, as well as obedience, commitment and good practice. However I do think coining the term 'Muslim tourism' is better than 'Islamic tourism', if by tourism you mean the practice of traveling for recreation.

In that sense, I think Muslim tourism is the practice of providing service of traveling for Muslim recreationally. By means of helping a Muslim to visit places of interests where his religious obligations could still be fulfilled, aside from catering to his recreation interests as long as his main objective is in accordance with what the Qur'an and Sunnah explain, that is to improve his Iman, Islam & Ihsan.

One can always get into a drawn-out discussion of definitions and how accurate they are but at the core, the issue is quite simple. With one's ability to afford it, pilgrimage has been mixed with tourism. As long the number of people who can afford such a possibility is above a critical mass where profits can be sustained, businesses will develop to cater to their needs and convenience - nothing unique about any specific religion, just their specific practices and ability of "tourism" industry to facilitate compliance.

There is no such thing as Muslim flora and fauna.

Wan Mohammed Sallam Wan Sulaiman: How about if tour agencies are selling tour packages called Umrah & Ziarah? Can it be classified as 'Muslim Tourism' or 'Islamic Tourism'? And what do you think about Halal tourism which is widely introduced  in Malaysia and worldwide?