So many European countries have had war after war throughout their history.
That movie continued to move me from start to finish.
この場合は、次のような言い方をするのが自然だと思います。
ーSo many European countries have had war after war throughout their history.
「多くのヨーロッパ諸国は歴史を通して戦争につぐ戦争だった」
to have war after war を使って表現できます。
ーThat movie continued to move me from start to finish.
「あの映画は最初から最後まで感動の連続だった」
to continue to move me from start to finish を使って表現できます。
ご参考まで!