I can recommend Dr Ileana Tomida, who speaks speaks English. Klaffensteinstr. 1 71032 Böblingen, Germany 07031 234544 She was brilliant when my daughter had severe eye problems and worked closely with the Professors in Tuebingen Augenklinik.
You can also find a list of English speaking Doctors in Stuttgart
From this list, look under AugenartztAnd these are other known English speaking eye docs
Dr. Rosel Schlegel & Dr. Gabriele Stöltzing
Senefelderstraße 60 Stuttgart Tel: (0711) 624692
Speaks English. Recommended for children and adults. If making an appointment for a child, ask for one in the
Sehschule, which is possible on Mondays.
Dr D. Schleipen
Kirchheimer Strasse 67 Sillenbuch Tel : (0711) 474311
Dr K.P. Neff
Kirchheimer Strasse 69 Sillenbuch Tel : (0711) 471188
Dr Stefan Kruck
Hindenburgstrasse 7 Ostifildern- Nellingen Tel: (0711) 3412393