He seems to know French well (= It seems that he knows French well) — Кажется, он хорошо знает французский.
They all turned out to be good fighters (=It turned out that they all were good fighters ) — Все они оказались хорошими бойцами.
The weather appears to be improving (=It appears that the weather is improving) — Погода, по-видимому, улучшается.
He seems to have created the perfect mix of dark, gloomy lyrics and light, fluffy music (=It seems that he created...) — Кажется, он создал превосходную смесь из темных, мрачных стихов и светлой, воздушной музыки.
She seemed to have forgotten her promise (= It seemed that she had forgotten her promise) — Казалось, она забыла свое обещание.
He proved to be a good friend — Он оказался хорошим другом.
I happened to be there at that time (=It happened that I was there at that time) — Случилось так, что я был там в это время.