Feng Shui has a long history. It goes back about 4,000 years. So, how do you define contemporary? I will take the 20th century as contemporary.
There is one Feng Shui formula that is based on the work of a Black Hat Sect Buddhist Monk called Lin Yun. It is known as the Triple Gate formula. It is derived from the Bagua but without the compass directions.
There have been quite a few changes in the modern-day world—for example, electricity, roads, high rise buildings etc. Feng Shui easily takes into account these changes when the interpretation is based on the flow of energy.
There are a host of new topics, which include de-cluttering, cleansing the space, minimising electromagnetic forces, dowsing to identify geopathic stress. These topics are not part of Traditional Chinese Feng Shui.
Then there is the inclusion of environmental practices from other countries – Japan, Korea, India, Bali and other pagan rituals.
Also, there have been secret methods appearing, probably for the first time ever. There is no history or validation of these methods.