A few comments:
Overall the inter-mixture of Underground and Mainline/BR/National Rail stock I find a bit confusing... And for many of the earlier types, especially things like the SR emus, I know them by their pre TOPS designations, not TOPS class numbers.
Would including thumb nail images be useful
How should 'groups' be shown? - e.g. for the many dmmus which followed from the inital 'Derby lightweights' of 1954, with different manufacturers producing their own designs to BR specifications - for the various 'twins', then major variants - the WR suburban and cross country triples; and the Swindon InterCity units, which combined took coach style from Mark 1s, and power trains fom other dmmus
And what about what, to all intents and purposes, the same - the 506 & 306 classes, the later being those converted to ac? the Underground Standard and 1938 stock to the Isle of White, which gained TOPS classifications, but weren't really changed?
And how the major strands of development following through one to another inter-related: would different sorts of arrow be useful?
Should the timelines reflect building dates or service dates? What about rebuilding/major changes to a type?
How far back should you be going? As an example of this, the BR Mark 1 coaches drew a lot from the late pre-nationalisation designs of all the Big four for style and detailing, with basic steel body on chassis design from Mr Bulleid's all steel 4-SUBs...
The various SR dc emus all followed a definite development from the original LSWR 3 car suburban units - the Southern suburban units of the 1920s all followed from these, branching out in the 1930s to the 'outer suburban' 4-LAVs/2-NOL/BIL/HALs and the main line 6-PUL/PAN/5-BEL/4-COR etc strand - all of which devloped and influenced each other, culminating in the all steel designs of 1940s, which in some sense inspired the Mark 1 coaches, which led to the 'BR standard' variants of SR emus - and in turn to the Southend dc emus (which became class 307), and in turn the other ac emus of the early 1960s...
It was only the 2/4-PEP (445/446) that broke the mould to give something very different.
On the London Underground:
To my mind, there was a definite link from the District G (Q23) stock to K (Q27), and on. And the G was a follow on from the B, C, D, E stock sequence (which in turn probably drew from the MDR A, but I am less sure of this). The F stock was very different (but not unrelated, methinks): one thing I wonder about is whether it in someway inspired the much later A for Amersham stock.
Then came the O/P (all new) and Q38 (same body style, but to work with the older District stocks)