For LM I would want to see the following
Class 350/4s go to the Franchise.
Class 319s to come to the franchise for extra capacity on Northampton to London services as soon as possible as a precursor to new Class 700s coming to the Franchise.
A second 110mph service between London and the Trent Valley. Arguably I would avoid Northampton and instead provide good connections at Rugby.
Services linked across Birmingham and Northampton where possible.
Earlier service from Hereford to Birmingham and a later service from Birmingham to Hereford. Similar concept for Stratford Upon Avon.
Possibly an hourly service to Gloucester via Worcester Parkway unless Cross Country can provide it via an extension of one of their terminating services at Birmingham from Leicester or Nottingham.
For Cross Country
Earlier services between urban centres like Derby to Birmingham, Leicester and Birmingham and Cardiff and Birmingham.
3rd Hourly service between Birmingham and York. (Destinations south and north up for debate).
Lease of additional HSTs as a precursor to new trains in mid 2020s.
Hourly service from Plymouth or the south coast to Scotland via Birmingham and Preston.
For EMT
The Sixth service to operate to Manchester calling at Luton, Bedford, Kettering, Leicester, East Mid Parkway, Derby, Chesterfield, Stockport and Manchester. I would also consider a stop in the peak District (in the Hope Valley).
Extend the fast Nottingham service to Leeds via Alfreton, Chesterfield, Sheffield, Rotherham, Wakefield Westgate and Leeds.
Unfortunately services to Matlock wouldn't be viable due to the heavier trains now in use or being built for Intercity services.
Extend the fast Sheffield service to / from Barnsley once or twice a day and better connections the rest of the time.