I propose the modern company, formerly known as First Great Western, should henceforth be known as Second Great Western.

Love the tram idea. Do that but also do the same to the old Brentford branch and run trams down to Brentford from Southall. Connect it all up the main tram route into Uxbridge and you have a tram network similar to the one in South London. 3 routes: Uxbridge to Brentford, Uxbridge to Greenford and Uxbridge to Hayes via a short street running branch running off of the main tram route along Uxbridge Road. The depot could be constructed in the land by the junction near West Ealing or near Southall.

That's quite a handy line. It is a nice short cut from the Central Line to Elizabeth Line so I didn't have to go all the way into the city and out again.

15 years ago I used to ride the Greenford branch to work everyday and it often felt like my own private train!

I've always thought of it as the Romford 2 Upminster's West London cousin.

The first and last train of the day does start / end at Paddington calling at Ealing Broadway but not Acton Main Line.

Short answer: Yes.
Long answer: Definitely yes.

As a resident of West Ealing (and a former resident of the potential tram-bearing Argyle Road), I found this very enlightening. Just noting that the first train of the day (05:44)still runs all the way from Paddington to Greenford.

Just a minor correction. The first train from West Ealing actually starts from Paddington whilst the last train from Greenford runs into to Paddington

It sounds like this is a perfect line for a tram

The sensible answer was proposed years ago under the "Chiltern Metro" plan, the service would be High Wycombe to Ealing using the abandoned down BR platform at Greenford. The benefits here is that it gives the Chiltern line a direct link to the Elizabeth line without reducing service on the greenford branch, it also helps take the load off Marylebone which is at capacity.

Castle Bar is my local station, it's only busy at Peak Times. It's more used these days thanks to the Lizzy Line Connection. When it was originally cut back it became useless for quite some time as there was connection to get beyond going to Greenford for the Central Line. The bus is sometimes quicker to West Ealing but then it's a extra fare to be paid. The bus is certainly not quicker from Ealing Broadway back to Castle Bar Park Station, as the traffic along the Uxbridge Road is mostly terrible at all times.

Conversion and extension to trams?

Oops, posted 2 minutes before I'd finished watching. Yes, absolutely agree, from a crayoning point of view.

Problem with the Tram idea is the line is remains a very handy freight route.

I think the Central Line should take it over. It would extend from Ealing Broadway to West Ealing, take over the branch line, and meet the CL at Greenford and carry on the WR. Another option is for the District Line to extend from EB. Either way, I think it needs a bigger serivce to carry it as it's clearly not financially viable.

For some years I walked most of this route to and from work every day.  I could have stood in the rain and waited for a bus but it was warmer to keep moving, and took about the same amount of time.  I frankly never considered taking the train.  There are many Beecham cut lines I'd like to see restored rather than keeping this line open.

When the shuttle used to run to Ealing Broadway it was busy. Cutting it back to  West Ealing killed it. Whilst connections on towards London are good, going the other way it involves crossing a bridge, so is not good.

I used the service into Paddington many times in the 90’s.

That would be quite handy if it became part of the Overground, as GWR trains aren't too frequent and when coming from Greenford it saves having to get the Central Line all the way in to North Action, transfer to a train heading out to Ealing Broadway then getting the Elizabeth Line to West Ealing.  Or a bus from Greenford to Ealing Broadway, which during peak hours takes quite a long time.  If they did this I'm sure it wouldn't be long before passenger numbers increased for these stations, especially Heathrow workers.

One other thing to bear in mind about the Greenford branch is that in recent years it was heavily used for freight. The junction at West Ealing for Greenford faces towards both Southall and Paddington. To my recollection the line connects with the old ghost train towards West Ruislip and the line that now terminates between North Acton and Old Oak Common.