Moderna (mRNA), Pfizer (mRNA) and Oxford (viral vector) have all reported T-cell activity. Sources:
* https://blogs.sciencemag.org/pipeline/archives/2020/07/15/mo...
* https://blogs.sciencemag.org/pipeline/archives/2020/07/20/mo...
* https://blogs.sciencemag.org/pipeline/archives/2020/07/20/ne...
(these blogs link the actual preprint primary source as well)