風(ふう)-style, Way, Fashion

風 (ふう) and みたいに・みたいな both express resemblance or appearance. 風 attaches directly to nouns, e.g. アメリカ風料理 'American-style food' and can sound more formal. みたいな also attaches to nouns, but is more casual and makes a more straightforward comparison, e.g. ハンバーガーみたいな料理 = 'food like a hamburger'.

風 (ふう) and 的 (てき) are suffixes that turn nouns into descriptors. 風 suggests a style or 'air,' and is more limited in use, e.g. 日本風 or 和風 'Japanese-style'. 的 is broader, used for both adjectives and adverbs, e.g. 感情的 'emotional' and 定期的に 'regularly'.

風 and らしい② both express resemblance but differ in nuance. 風 means something has the 'air' or appearance of a type, e.g. 日本風建築 'Japanese-style architecture'. らしい② implies it embodies the ideal of that category, e.g. 日本らしい建築 implies 'quintessential Japanese architecture'.

Both describe style or appearance, but with different nuance. 型 refers to a concrete type, model, or category, e.g. 新型のスマホ ('A new model of smartphone') 風 suggests resemblance or outward style, often subjective or superficial, e.g. 昔風の家 ('A house in the old-fashioned style')

風 (ふう) and ように・ような both express resemblance. 風 attaches directly to nouns, e.g. アメリカ風料理 'American-style food', while ような requires の before nouns, e.g. ハンバーガーのような料理 'food like a hamburger'. 風 often has a more stylistic nuance, while ような is a more neutral comparison.