
gewöhnlich
ordinary
As an adjective: normal, usual, everyday, and not special or extraordinary.
Es war ein ganz gewöhnlicher Dienstag ohne besondere Vorkommnisse.
It was a completely ordinary Tuesday with no special incidents.
ordinary / usually
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ordinary
As an adjective: normal, usual, everyday, and not special or extraordinary.
Es war ein ganz gewöhnlicher Dienstag ohne besondere Vorkommnisse.
It was a completely ordinary Tuesday with no special incidents.

usually
As an adverb: normally, as a rule, most of the time.
Gewöhnlich trinke ich morgens einen Kaffee.
Usually, I drink a coffee in the morning.

vulgar
Derogatory: crude, unrefined, or without good manners; vulgar.
Sein lautes und respektloses Verhalten wurde als gewöhnlich empfunden.
His loud and disrespectful behavior was perceived as vulgar.
'Gewöhnlich' (ordinary / usually) belongs to the word family of 'die Gewohnheit' (habit) and 'sich gewöhnen' (to get used to). So it describes something that has become a habit or that one has gotten used to.
Es ist meine Gewohnheit, morgens früh aufzustehen.
It is my habit to get up early in the morning.
When 'gewöhnlich' (usually) stands at the beginning of a sentence as an adverb, the verb follows in second position (inversion). If it stands within the sentence, it is usually placed after the conjugated verb.
Gewöhnlich gehe ich am Wochenende spazieren.
Usually, I go for a walk on the weekend.
The derogatory meaning 'ordinär' (vulgar) can be recognized from context. When 'gewöhnlich' (vulgar) negatively describes behavior, language, or taste, this is the meaning intended. Tone is crucial here.
Ihre gewöhnlichen Witze kamen auf der Feier nicht gut an.
Her vulgar jokes did not go over well at the party.
often
Oft and gewöhnlich can both describe recurring behavior. Oft focuses on the number of occurrences, whereas gewöhnlich focuses on the usual or normal case. Use oft for many individual occasions and gewöhnlich when you want to say what normally happens.

Ich trinke gewöhnlich morgens Kaffee, aber manchmal Tee.
I usually drink coffee in the morning, but sometimes I drink tea.
Ich trinke oft morgens Kaffee, aber manchmal Tee.
I often drink coffee in the morning, but sometimes I drink tea.