Lutherans and Anglicans. Confessional Lutherans are more conservative than the main church.
The Mar Thoma Church is a church of West Syriac tradition that is in Anglican communion.
Also Nestorians maybe indirectly
From Rome's Fall by Eddy Gibbs
"Their religion would have rendered them the firmest and most cordial allies of the Portuguese; but the inquisitors soon discerned in the Christians of St. Thomas the unpardonable guilt of heresy and schism. Instead of owning themselves the subjects of the Roman pontiff, the spiritual and temporal monarch of the globe, they adhered, like their ancestors, to the communion of the Nestorian patriarch; and the bishops whom he ordained at Mosul, traversed the dangers of the sea and land to reach their diocese on the coast of Malabar. In their Syriac liturgy the names of Theodore and Nestorius were piously commemorated: they united their adoration of the two persons of Christ; the title of Mother of God was offensive to their ear, and they measured with scrupulous avarice the honors of the Virgin Mary, whom the superstition of the Latins had almost exalted to the rank of a goddess. When her image was first presented to the disciples of St. Thomas, they indignantly exclaimed, "We are Christians, not idolaters!" and their simple devotion was content with the veneration of the cross. Their separation from the Western world had left them in ignorance of the improvements, or corruptions, of a thousand years; and their conformity with the faith and practice of the fifth century would equally disappoint the prejudices of a Papist or a Protestant."