After a pretty brutal flight schedule, I will arrive in Athens at about 7am on a Sunday in May. I'm thinking a rooftop brunch/lunch would be a good, low-key way to keep myself occupied until I can check into my hotel. I'm not looking for anything upscale; I want decent food at a decent price with a nice view. (I know "decent price" is relative, let's say 20 euro or less for a non-fish/steak lunch entree.) I'll have plenty of time to kill, so I'm not too worried about which neighborhood the restaurant is in. A few that I'm considering: Attikos, MS Roof Garden, Elysium. Does anyone have thoughts about these rooftop restaurants or suggestions for others?

It looks like archeological site entrance prices across Greece have increased in the past few years, and the combo Acropolis/Museum ticket is no longer a thing. I know I for sure want to go to the Acropolis and the National Archeological Museum. At one point I was thinking I might skip the Acropolis museum entirely. Would that be a travesty? (I'm assuming yes.)

I'm now thinking that I probably will go. Do people have strong opinions on whether it's better to go to the Acropolis Museum before or after the Acropolis site? I'm planning to go to the Acropolis in the late afternoon, if that matters, so I'd go to the museum either that morning or the day after.

For my interests, a visit to the Acropolis Museum added immensely to my appreciation of the Acropolis -- it has some truly wonderful displays! And it's quite diifferent from the magnificent National Archeological Museum. I saw the Acropolis Museum after visiting the Acropolis itself, though I'm not sure that matters ... or maybe it's a matter of personal preference. With the crowds in Athens these days, I'd probably pay more attention to timing than sequence.

I recommend purchasing your Acropolis ticket in advance for the earliest entry possible. Print out your ticket instead of just relying on your phone. Bring the print out with you. (Duh, I know, but anyone can forget, me included.) If the entry is at 8am, get there at 7:20am. If you are the first one there, so much the better. This effort will be worth it. It's a temporary peace, but a glorious sight nonetheless.

I don't think the order matters. The museum is near the Acropolis, but no longer on the Acropolis. Enter the Acropolis at Beulé Gate (37°58'16.9"N 23°43'27.9"E) on Google Maps.

Heres what i would.do

drop off bags at hotel
head towards the Acropolis and find a cafe along Makrigiani. Its a pedestrian area with lots of cafes.
from there you are a stones throw from both the Acropolis and the Acropolis museum, both of which I recommend.

I would see the museum after visiting the Acropolis. It adds a lot of info, especially seeing the copies of the Elgin marbles. A narrative guide either audio guide or from the internet or a brochure helps explain all the intricate detail.

We visited the Acropolis Museum AFTER we visited the Acropolis, and that worked out fine for us. When we visited the Museum, they did not offer audioguides. This was in 2022. Not sure if they do now. I know that Rick Steves has an audio guide for the Acropolis Museum. And I don't remember why we didn't use his. You have to download his app. We followed some of his audio tours when we were in Italy, and they are quite good.

Why are you planning on visiting the Acropolis in the afternoon? We were in Athens in late May, and by then the temperatures were really hot, in the 90's. Athens was the hottest place of all of our destinations. We visited the Acropolis in the morning. We had a 9AM tour with Athens Walks. It was hot up there even in the morning. On our walk back down, we stopped at a kiosk and bought lemonade and sat under a tree. If you can change your plans for that day, I would highly recommend visiting the Acropolis in the morning. Unless you will be in Athens in early May, and perhaps it won't be as hot then.

The Acropolis Museum DOES have audio guides (either 30 or 60 minutes), as well as a digital guide
https://www.theacropolismuseum.gr/en/digital-guide

I used the 60-minute audio guide. It was excellent.

I am happy to hear that they have audio guides. When we were there, unless my memory is faulty, I thought I asked someone about audioguides, and we were told there weren't any.

I tend to trust museum web sites, but it's always good to know one's options.

UNless it is very recent I don't believe R Steves has an audio guide for the Acropolis Museum (which is a private museum not an official GOvernment museum).

Steves DOES have a very useful Guide for the National Archeological Museum, which holds treasures from all over the Nation, not just the Acropolis. His guide takes an approach llike "The 10 dont-miss highlights (or Galleries" ... which is very useful for people who want to vsit the museum for just 2-3 hours. One could get lost for a whole day there, along entire corridors of pots pots pots pots.

The good news is that Finally (after decades & decades of being asked to do it) the N. A. M. is now offering its Own Audio tours, which one can request, supposedly, at an Audio center near the entrance. Since the collection is so huge & varied, it has 32 (!) different audios with themes. For an overall look, it is recommended fir first-timers to choose Audio 08: the Highlights. Actually, if you wanted to cover all bases, one could download the R Steves "Highlights" audio, and at the museum choose one of the 31 others that speak to your own special interests.