It is hard to say, mainly because in many companies it is a business secret. The most famous examples such as the BASIL process can be found in reviews like:
Article Industrial Applications of Ionic Liquids
Article Industrial uses and applications of ionic liquids
However, Roland Kalb came up with 57 ionic liquid applications that have been commercialized or are being developed on a pilot scale as of 2019 in his book.
Chapter Toward Industrialization of Ionic Liquids
So, probably in most cases they are utilized as solvents, so you can assume that answer is about 25-50 if we think about known applications.
It is nice that Stachowiak could throw some light on this topic. It appears from the literature he has cited that there can be only around 50 ionic liquids which have been commercialized. It is possible that many other companies did not disclose their usage to avoid any challenge from their competitors.
There is at least another big industrial IL process which is publicly known (emphasis here on publicly known) and that is the isoalkyl process. Here ILs replace HF in the synthesis of high performance fuels.
https://www.chevron.com/newsroom/2021/q2/chevron-and-honeywell-announce-start-up-of-isoalky-ionic-liquids-alkylation-unit
There are, as already suggested, quite a few other ones, which are unfortunately not available to the general public.
Perhaps Dr.Boyan Iliev can answer the query by Dr..Jochen Mezger
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