It appears that this is a horizontally mounted xfmr (with the xfmr sort of laying on it's side and the wires coming out the bottom.
Here's, at first glance, a possible replacement: RadioDaze Cat. HX273AZ. You'd have to check the dimensions to see if it will physically fit. The high voltage winding is 650V CT, which should be OK. However, this xfmr is rated at only 35VA, and I note that your set is rated at 65W (which includes the record player?) Well maybe this xfmr is too scrawney, so look at other options on the RadioDaze catalog/website. You have more options if you can make a vertical mount xfmr fit, physically.
What you need to address is why the original xfmr blew up in the first place. There might be a short somewhere - they seldom burn up on their own accord. Of course, you should replace the filter caps before energizing a replacement xfmr and add a fuse to the primary. And then bring it up slowly and carefully on a variac or with a dim-bulb tester.