The first* series ran from 1978–1990 (IMBD 8.4/10). There is an 8 episode remake in 2020 on Masterpiece (IMBD 8.4/10). It was televised in most of Europe and there was an increase in applications to vet schools because of it.
The trailer for the 2020 version with eng subs is here: https://www.youtube.com/watch?v=MZzFjeQFpro
The original series can be watched on Youtube with auto-generated eng subs here: https://www.youtube.com/watch?v=hSOFQwqa22E&list=PLFoVinyuctAoS2zKnm8aPGMQlhgnGKogR&index=1
The original show can be watched in German here (Der Doktor und das liebe Vieh):https://www.youtube.com/watch?v=EP6Ck_0Gn1o&list=PLp0NTLuZVbiQ-W0eXWFq11lC0WlguPnqd
*The original (1978 to 1980, based directly on James Herriot's books) was for three series; the second (1988 to 1990, filmed with original scripts but generally regarded as a continuation of the 1978 series) for four.
This show is a nice break from all the action & intense shows that seem to be more common now. Would really recommend checking it out!