According to the MathSciNet review (see also MO answers [here][1] and [here][2]) this paper should do the trick:

Komrakov, B. P. *Maximal subalgebras of real Lie algebras and a problem of Sophus Lie.* Dokl. Akad. Nauk SSSR 311 (1990), no. 3, 528--532; translation in Soviet Math. Dokl. 41 (1990), no. 2, 269–273 (1991) 

Also, it seems that these papers might be helpful, in conjunction with Dykin's paper *Maximal subgroups of the classical groups*:

Karpelevič, F. I. *The simple subalgebras of the real Lie algebras.* 
Trudy Moskov. Mat. Obšč. 4 (1955), 3–112. 

Karpelevič, F. I. *Classification of the simple subalgebras of the real forms of classical algebras.* Doklady Akad. Nauk SSSR (N.S.) 93, (1953). 613–616. 

Karpelevič, F. I. *Classification of the simple subgroups of the real forms of the group of complex unimodular matrices.* Doklady Akad. Nauk SSSR (N.S.) 85, (1952). 1205–1208. 

In fact, that is roughly what is claimed to have been done in:

Selim, Taufik Mohamed *On maximal subalgebras in classical real Lie algebras.* Selected translations. Selecta Math. Soviet. 6 (1987), no. 2, 163–176. 

Another paper that might be helpful is:

King, Oliver *On some maximal subgroups of the classical groups.* 
J. Algebra 68 (1981), no. 1, 109–120. 


  [1]: http://mathoverflow.net/a/111532/12218
  [2]: http://mathoverflow.net/a/181867/12218