For many years the definitive single volume history of WW1 was widely regarded to be that written by Basil Liddell Hart and called not unsurprisingly “History of the First World War”. I haven’t read it for some years but it is the sort of single volume, overall history you describe written in the decade or so after the war. It’s still in print, which says a lot, and second hand copies can be picked up for pence.
Liddell Hart was a soldier, historian and journalist who was widely regarded as one of the pre-eminent military thinkers of his day. He was invalided out of the army after the Somme and his experiences in WW1 helped form his views on the benefits of air power and armoured forces and the need to base strategy and tactics on finding the enemies weakest point.
In recent years there has been some questioning of whether his post WW2 writings were biased by his belief that the german army’s armoured warfare tactics had been heavily influenced by his own writings and that of other British military thinkers in the 30s such as Fuller. There is an alternate theory that the german’s developed their tactics on the fly and then kept doing what worked and that it was only after the war when Liddell Hart interviewed them that they realised how much they owed to him. His Wikipedia page gives more details.
None of this has any bearing on the excellence of his WW1 history.