Do any British universities still offer degree registration from afar to those who study alone, without tuition?
The University of London still offers self study courses for international students. The list of courses includes both undergraduate and post graduate degrees in a range of subjects. While these courses are self study and do not include tuition, they are not cheap. For example, the fees for the Accounting and Finance (BSc) are:


  Academic year 2016-2017
  
  Application fee (non-refundable)  £ 84    
  
  Initial registration fee  £ 760
  
  Examination entry fee (per full course)   £ 224
  
  Examination entry fee (per half course)   £ 112   
  
  Continuing registration fee   £ 380
  
  Total for BSc degree  £ 4,292
  
  Other fees (as applicable)
  
  Additional registration fee for students taking law courses (per course)  £ 51
  
  Application fee for consideration of accreditation of prior learning (per full course)    £ 89


The fees are a little confusing since they are using course in two different ways. I think £224 fee is for a full year module.

At a total cost of £4,292, this is considerably cheaper than the £9,000 per year (£27,000 per for a degree) that most UK universities are charging. That said while program includes study materials, it does not include teaching.