I do like how you copied the first 4 from Wikipedia and then added the Reading line at the bottom, especially as their colloquial term are the Windsor lines.
Right, let's have a quick gander at services down the lines, trains per hour are taken from 11.00am to 11.59am.
The South Western Main Line (SWML) to Southampton, Bournemouth and Weymouth;
Services listed are trains that start at London Waterloo, and may or may not diverge from the mainline at some point of the journey, ie, Portsmouth line trains are included as they call at Woking. Services listed run on the fast line for some portion of their journey.
xx00 - Portsmouth Harbour
xx05 - Poole
xx09 - Portsmouth Harbour via Eastleigh
xx12 - Basingstoke
xx15 - Haslemere
xx20 - West of England line service (Salisbury, Exeter or beyond)
xx23 - Alton
xx30 - Portsmouth Harbour
xx35 - Weymouth
xx39 - Southampton Central
xx42 - Basingstoke
xx45 - Portsmouth Harbour
xx50 - West of England line service (Salisbury, Exeter or beyond)
xx53 - Alton
14tph - those are
fast services only....
But, if you're being pedantic and want to list the slow line services as well:
xx03
xx06
xx09
xx12
xx16
xx20
xx24
xx27
xx33
xx36
xx39
xx42
xx46
xx50
xx54
xx57
16tph, so
30tph in total...
The Portsmouth Direct Line via Guildford: leaves the main line at Woking;
Times listed are ex-Waterloo
xx00 - Portsmouth Harbour
xx15 - Haslemere
xx30 - Portsmouth Harbour
xx45 - Portsmouth Harbour
4tph
The West of England Main Line to Exeter, Paignton, Plymouth, (and Penzance): leaves the main line at Basingstoke
Times listed are ex-Waterloo
xx20 & xx50, to Salisbury and beyond!
2tph
Wessex Main Line (part): Southampton via Salisbury to Bristol Temple Meads
South West Trains have 1 passenger service (towards Salisbury, cba to look for towards Southampton), 2140 Brighton - Salisbury. They have several more on Saturdays and Sundays.
1tpd
The Reading line via staines and to ascot via viginia water
The Reading line service just consists of what it says in Table 22 of the SWT big book of timetables...
xx07 - London Waterloo via Richmond
xx15 - London Waterloo via Hounslow
xx20 - Reading
xx22 - Weybridge via Virginia Water (advertised as Addlestone)
xx28 - Windsor & Eton Riverside
xx33 - London Waterloo via Kingston
xx37 - London Waterloo via Richmond
xx45 - London Waterloo via Hounslow
xx50 - Reading
xx52 - Weybridge via Virginia Water (advertised as Addlestone)
xx58 - Windsor & Eton Riverside
11tph - and not even long distance, not a mainline, more like outer suburban...