of course there are none. If you are a Christian and not a Catholic, you are a protestant....there isn't a third catagory.
You need to get out more.....
In a very broad sense perhaps, however traditionalist as yourself even exclude the majority (being liberal) of Catholics from really being so, and deny that evangelical churches can properly be called churches.
Christians were not called such simply because they were in dissent from Judaism, nor is it proper to label all as Protestants who dissent from Rome.
If one agrees to define titles at least according their most basic original doctrinal distinctives, one of which is the supremacy of Scripture as the wholly inspired infallible Word of God, and its basic literal interpretive grid, and salvation by faith (albeit a faith that effects works) and not earned, then Mormons and other cults, which deny the very Christ that we affirm, and like Rome, effectively operate under out of sola ecclesia (the church is the supreme authority), then it is hardly fitting that they properly be called Protestants, even though the latter is variegated.
Groups such as these cults actually deviate more in basic tenets from historical Protestantism overall than the sedevacantists do from Catholicism, and who are among your fiercest critics. And then you have the various Anabaptists sects which were persecuted by both Rome and magisterial Protestants.
Keep in mind that the church itself essentially began in dissent, joining prophets who also were rejected for their own dissent, and by such the faith has been preserved, truth being established by Scriptural conformity in word and in power.
And it is because of what Protestantism historically fundamentally primarily believed overall then Evangelicalism (which was once equated with fundamental Protestantism) arose as a subset of Protestantism, due to deviation from fundamentals of faith by a significant amount of Protestantism.
This movement transcended denominations and historically has manifested a shared contention for the basics of the faith, such as the supremacy of Scripture as described above, the truths of the Apostle's creed, the Triune nature of group as the Father, the Son and the Holy Spirit, and other tenets, against cults which deviate from both historical Protestantism and Catholicism, as well as contending against certain other doctrines not warranted or contrary to Scripture.
However, as we see in Scripture, a great apostasy will occur before the Lord returns and all believers, dead or alive, henceforth are forever with Him ( not in purgatory ), and so only a relative remnant (including what is left of Israel ) shall be saved, by true faith, which endures and is rewarded. (Heb. 10:17,35) May all and i always walk consistent with said faith.