Who is still making CD transports?

https://www.suos-hifi.com/
You're not limited to a few Japanese brands.  Also Stream Unlimited.  Scroll down a little...

Here’s a list of CD transports made, from the first to the latest (at time of article). You’ll need to do a search as to which one you want and proceed from there.
https://www.hifi-advice.com/blog/classics/digital-classics/the-almost-complete-philips-cdm-range-of-swing-arm-cd-mechanisms/

The links towards the end of the article are worth a look as well.

All the best,
Nonoise

CEC
http://www.cec-web.co.jp/products/cdplayer/index_e.html

Hello,
Every CD player can be used as a transport as long as it has a digital outs. PS Audio has a great transport. Not sure about the reclocking unless you use the right DAC and type of connection. Ask
Ps Audio first. I feel this comes down to budget. The Cambridge is really good especially if you do some basic upgrades like dampening the cabinet with dynamat. If you can afford a better unit they can sound a lot better. All of the brands mentioned here are really good. Decide what you want to pay. A lot of people at audiogon feel the DAC is more important. I have to agree since there are only a dozen transport companies. If this is just CDs or Redbook then you have a lot of choices. If you need SACDs your choices are limited. Most SACD transports will not play out of a digital out unless you are using the right DAC with the correct hand shake due to Sony. 

Chord Electronics Blu MKII.  Excellent unit that also does upscaling.
https://chordelectronics.co.uk/product/blu-mk-2/