oily
ˈɔɪli
Oily describes both physical properties (substances, skin, or hair coated in or resembling oil) and an unpleasantly smooth, ingratiating manner in a person. The right German equivalent shifts considerably depending on whether the literal or figurative sense is intended.
1. fettig
The most common equivalent for things covered in or containing grease or fat, especially skin, hair, and food.
2. ölig
Used when oil itself is the substance in question: oily liquids, contaminated water, or mechanical contexts.
3. schleimig [informal] · figurative
For people who are unpleasantly ingratiating or sycophantic: the colloquial German equivalent for the figurative sense of being too smooth and insincere.
Notes
The figurative sense (= excessively flattering, ingratiating) maps most naturally to schleimig in everyday German, though the word is blunter and more overtly contemptuous than oily. For formal or political contexts, aalglatt (literally: smooth as an eel) is the more refined choice: it implies someone is slippery and evasive rather than openly fawning.