Appears as if it can be done in that direction only on a West Midlands Day Ranger, but presume you'd need to be on one of the handful of services calling at say Rugby or Nuneaton, then Stoke-on-Trent.
It does indeed seem to be possible nowadays with a couple of services calling at Nuneaton or Lichfield TV, but I can remember checking a few years back and finding just one Euston-Manchester service at stupid o'clock in the morning which called at Nuneaton (and that was assuming it was a weekend when the West Midlands Day Ranger was valid at that time). All other trains ran non-stop Milton Keynes-Stoke, as they do today. Incidentally, for how long has the line been included on the West Midlands Day Ranger validity map?
did you ever get the north curve at Hatton? I failed that one when i lived nearby.
I am not sure I got all the 4 curves Soho - Perry Bar.
Never did Lifford Curve.
Never did Small Heath - New Street tho I did do Saltley - Kings Norton when they rebuilt a bridge on the New St - Stetchford line, so only a couple of curves.
I did get the Sutton park line on a midlands Network Day. Was it in a Hastings DMU. Late 80's I think???
Hatton north curve? Piece of cake, there's an hourly Stratford via Solihull service these days

I'm sure I did it before then, but can't remember what on.
As for the bits at each end of the Camp Hill line, do these carry a timetabled passenger service? So do they count?
There
was a DMU tour in the late 1980s ('Midline' era) which started from New Street and covered a whole load of non-passenger routes in the area, but I don't remember the Hastings unit, which would have probably been a railtour starting from 'down south'.