Odd one out - which and why? And, yes, there are probably multiple answers in each case. 

1.
Westbury
Cardiff Central
Doncaster
Haymarket

2.
Corrour
Trowbridge
Kildonan
Dorchester West

3.
Bristol Temple Meads
Sheffield
Cheltenham Spa
Liverpool Lime Street

4.
Barry
Catford
Burscough
Acton

5.
Brigg
Dilton Marsh
Snaith
Clifton

6.
Melksham
Arram
Pontardulais
Northwich

7.
Chetnole
Sandplace
Severn Tunnel Junction
Thornford

8.
Woburn Sands
Bow Brickhill
Millbrook
Fenny Stratford

9.
Dairycoates
Cowlairs
Sheephill
Lovers Walk

10.
Blackburn
Lincoln
Bedford
Shipley

 
8 - Woburn Sands is the only one of these Marston Vale stations that will remain open in EWR proposals

 
4. Acton.  There is no station called just 'Acton'.  All the others have a station with both the single word name and a two-word name the begins the same.  For example, there is both Catford and Catford Bridge, which is the example I'm familiar with.

There's a good Geoff Marshall video on YouTube celebrating Catford and Catford Bridge as a rare example of a pair of stations between which no ticket is available: would-be passengers have to walk the 100 yards between them.  As they also have to do if they get a ticket for a journey such as Bellingham to Lewisham, which I remember in the days of Edmondson tickets as including the printed text 'via Catford and Catford Bridge'.

As for the memory test to name all the Action stations ... I leave that to the reader as an alternative to counting sheep on a sleepless night.

 
5: Dilton Marsh - it receives more than one 'parliamentary' train per day

 

Yes - that was what I had


Yes - the "parly connection" is what I had - though I think Snaith has two in one direction and one in the other.  I recall being there on the daily train to Goole and it being very quiet by the time it left the Leeds commuter route it extends, carrying on alongside a trunk road where one train a day is hardly likely to compete.


A good connection / exception - very much along the one I had in mind, but there's another connection I had which makes one of the others the exception.

 
10 - Shipley.  The only town of those four which didn't previously have two stations.

 
Think I know 4 as well but will wait my turn tomorrow.

 
1,  Westbury - has no platform 0 (yet)

 
3 - Liverpool Lime Street - not served by Cross Country trains?

 

Yes - that's what I had as my planned answer. Yet 


An excellent answer - correct, though not the one I had in mind!


Oh yes - hadn't notices that - correct, but again not the answer I had in mind


Please feel free to personal message me though ... happy to answer in private.

 
9 - Sheephill

The others were the locations of engine sheds.

 
7. Severn Tunnel Junction

All the others are request stops

 

Darn it, you are right.  One of the others is also an odd one out for a different reason.


Yep - Hull, Glasgow and Brighton

 
4. Barry

The other three have a ‘Bridge’.