need font with extended Latin, Greek, Cyrillic, IPA, etc.

For a journal that I lay-out that regularly features articles on linguistics and related subjects, I'm looking for new fonts both for main text and for headlines. The problem is that I need fonts that include complete sets of IPA phonetic symbols, Cyrillic with extensions (including obscure Abkhaz letters etc.), Greek with extensions, Latin extended additionals, etcetera. Of course, Times New Roman has all of this, but I prefer to use something slightly more 'elegant'. For headlines, I do not need IPA, Greek, and Cyrillic, by the way, but I do need the Latin extended additionals (including for example the letter m with a dot above or below for Sanskrit transcription).

Currently I use Palatino for the main text, which necessitates me to switch to Times New Roman wherever necessary letters or symbols are missing (which happens rather frequently). For headlines I use a sans serif font that looks a it like Optima. I'd prefer to find somewhat similar fonts (and, of course, two fonts that go well together). However, thus far I have been unable to find anything.

Does anyone have suggestions for fonts that would satisfy my needs?