
reizen
to appeal
To find someone or something attractive or interesting; to present an incentive or temptation.
Die Möglichkeit, im Ausland zu arbeiten, reizt mich sehr.
The possibility of working abroad really appeals to me.
to appeal / provoke / irritate
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to appeal
To find someone or something attractive or interesting; to present an incentive or temptation.
Die Möglichkeit, im Ausland zu arbeiten, reizt mich sehr.
The possibility of working abroad really appeals to me.

to provoke
To deliberately provoke, annoy, or challenge a person or animal.
Hör auf, deinen kleinen Bruder zu reizen, sonst fängt er gleich an zu weinen.
Stop provoking your little brother, or he'll start crying any second.

to irritate
To cause a physical reaction such as inflammation or irritation.
Das Chlor im Schwimmbad reizt meine Augen.
The chlorine in the swimming pool irritates my eyes.

to bid
In certain card games (e.g., Skat), to make a bid in order to increase the game value and be allowed to declare the game.
Ich habe bis 20 gereizt und dann das Spiel bekommen.
I bid up to 20 and then got the game.
The verb 'reizen' is closely connected to the noun 'der Reiz' (stimulus/appeal). A 'Reiz' can be something positive (incentive), something negative (provocation), or something physical (irritation), which explains the different meanings of the verb.
Die unberührte Natur reizt viele Touristen.
The untouched nature appeals to many tourists.
The meaning of 'reizen' depends strongly on the object. If a possibility or an offer 'reizt' (appeals), it is positive. If you 'reizt' (provoke) a person or animal, it is negative. If something 'reizt' (irritates) the skin or eyes, it is a physical reaction.
Das Angebot, in Japan zu arbeiten, reizt sie sehr.
The offer to work in Japan really appeals to her.
In the meaning 'attraktiv sein' (to be attractive/appealing), the structure 'es reizt jemanden, zu + Infinitiv' (it appeals to someone to + infinitive) is often used. The person who feels the appeal is in the accusative.
Es würde mich reizen, eine neue Sprache zu lernen.
It would appeal to me to learn a new language.
A common and very strong expression is 'jemanden bis aufs Blut reizen' (to provoke someone to the extreme). It means to make someone extremely angry.
Mit seinen ständigen Provokationen hat er sie bis aufs Blut gereizt.
With his constant provocations, he provoked her to the extreme.
This meaning is almost always used for physical reactions. Typical objects are 'die Augen' (the eyes), 'die Haut' (the skin), 'die Atemwege' (the airways), or 'der Magen' (the stomach).
Staub und Pollen reizen die Atemwege von Allergikern.
Dust and pollen irritate the airways of allergy sufferers.
This meaning is technical language and is used only in certain card games such as Skat or bridge. Outside this context, you will not hear it.
Wer reizt am höchsten und darf das Spiel ansagen?
Who bids the highest and gets to declare the game?
to please / to fall
A travel destination can „gefallen“ someone or „reizen“ them. „Gefallen“ expresses a positive assessment, often based on one’s own impression. „Reizen“, on the other hand, emphasizes the interest or motivation to get to know the place.

Vor meiner ersten Reise reizt mich die Insel wegen ihrer ruhigen Strände.
Before my first trip, the island appeals to me because of its quiet beaches.
Nach meinem ersten Besuch gefällt mir die Insel sehr.
I really like the island after my first visit.