
gefällig
pleasing
Visually appealing or pleasant; nice to look at.
Das ist ein sehr gefälliges Design für ein Auto.
That is a very pleasing design for a car.
pleasing / obliging
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pleasing
Visually appealing or pleasant; nice to look at.
Das ist ein sehr gefälliges Design für ein Auto.
That is a very pleasing design for a car.

obliging
Helpful and courteous; willing to do someone a favor.
Er war so gefällig, mir mit den schweren Taschen zu helfen.
He was obliging enough to help me with the heavy bags.

you'd better
An intensified, often impatient or commanding request to do something. This form is used as an adverb.
Du kommst jetzt gefälligst sofort nach Hause!
You'd better come home right now!

please
Used as a polite, but often slightly old-fashioned form of request, similar to 'bitte' (please).
Würden Sie mir gefällig das Salz reichen?
Would you please pass me the salt?
'Gefällig' (pleasing/obliging) is closely related to the verb 'gefallen' (to please) and the noun 'der Gefallen' (a favor). This connection helps you understand the meanings 'appealing' and 'helpful'.
Könntest du mir einen Gefallen tun und mir helfen?
Could you do me a favor and help me?
The form 'gefälligst' is not a polite request, but an impatient or strict command. It is used as an adverb and expresses anger or authority.
Sei jetzt gefälligst still, ich muss mich konzentrieren!
Be quiet now, I need to concentrate!
When 'gefällig' (pleasing/obliging) describes a thing, such as a design or a shape, it means 'appealing'. When it describes a person's behavior, it means 'helpful'.
Die Architektin ist bekannt für ihre gefälligen Gebäude.
The architect is known for her pleasing buildings.
Using 'gefällig' as a question particle, similar to 'bitte' (please), is very formal and often sounds old-fashioned or ironic today. It is hardly used this way in everyday speech anymore.
Schließen Sie gefällig die Tür, wenn Sie gehen?
Would you please close the door when you leave?
please
Bitte can introduce a polite request in any suitable situation today. Gefällig is used with this meaning only in certain, often slightly old-fashioned constructions, such as „Seien Sie so gefällig“. Use „bitte“ in normal modern usage; „gefällig“ is mainly appropriate in such fixed expressions.

Seien Sie so gefällig und schließen Sie das Fenster.
Would you be so kind as to close the window?
Bitte schließen Sie das Fenster.
Please close the window.