I've not seen one with magnetic steel. However, you can make Turkish coffee with a small saucepan, if necessary, so any of the induction-ready cookware lines would have something.

As far as I know the original turkish coffee pot (cezve) is copper or brass. If you want to use any other metal you can use any saucepan. I consciously use a saucepan instead of a cezve, since saucepan takes more coffee.
(A small hint: try it with milk)

I am also searching for induction briki... Has anyone found one yet?

http://www.amazon.com/VonShef-Induction-Diffuser-Stainless-Available/dp/B00DOZXK4Q/ref=sr_1_4?s=home-garden&ie=UTF8&qid=1461614227&sr=1-4&keywords=induction+hot+plate

This is a quick solution if you'd rather not cook coffee in a sauce pan, this heat defusing plate will be placed on the stove then place the briki on top of it.

Cannot find one either! ☹️

@User Hi, I posted a solution using a defusing plate 3 years ago. but I eventually finally found this briki: https://www.amazon.com/Dexam-Vintage-Turkish-Coffee-Black/dp/B01ER4QE0O

Works on induction!

Yes read it. However the solution beats the purpose of induction...I couldn't use Gas so I bought induction...(faster cooking)... so now you are using this FINJAN from Amazon?

that link should bring you to a black turkish coffee pot by Dexam not Finjan. I bought it from food52 but it doesnt look like they carry it any more. yes i use this one by Dexam it works well and also looks really nice

I also found it on ebay

I just moved to a house with an induction stove, and our dzezve (ibrik) works fine. The brand is the Serbian brand METALAC. Bought mine in Serbia (where everyone drinks turkish coffee). Not sure where to find them but a quick search brings up info here:

https://www.metalacposudje.com/

and shopping here:

https://www.market.metalac.com/dzezve?filter_submited=1&show_filters=1

or you can search Metalac at Balkan/Serbian import stores, such as this one:

https://www.pveuromarket.com/More-Cookware-89/

or of course eBay.

Note that the enameled Metalac cookware is on the thinner side (it's not a big heavy All-Clad style dzeve/ibrik!), so it won't boil as fast as a big heavy All-Clad pot, but even so, the Metalac dzezve/ibrik still boils twice as fast on the induction stove compared to how long it took to boil on my regular electric-coil stove.