In reply to RANGITOTO:
You could probably do most of the peaks at that time of year without axe / crampons, depends on the route you take.
I have not done the Pico D'Estats so can't comment on that one.
Pico Aneto by the normal route is graded "Facil" easy. You could probably get away without axe & crampons as there will be a well trodden path to the summit across whats left of the glacier. Be prepared to join the queue to get across the Pente de Mohamed at the summit. As an alternative you could try the Via de los Descalzos which is the ridge that takes you up from the Coll de Coronas to the top. This avoids the steepest part of the glacier and is graded AD. You would need a rope and slings to protect yourself.
The Cresta de Portillones takes you to the summit of the Pico Maladeta it is graded AD and again you would need rope and slings.
To try to do the whole ridge to the summit of Aneto would be a major undertaking . You would probably be better off missing out Pico Maldito and re-joining the ridge at the Collado de Medio and doing the Pico de Coronas then down to the Coll de Coronas. There is some difficult climbing along the ridge at the Punta de Astorg between Maldito and Medio.
Try to get hold of the magazine Desnivel Nº225 this has a special on all the routes around Aneto. Or the book "3404 Aneto" you should be able to get both at Barrabes in Benasque.
JH