You have forgotten the vosotros (2nd person, plural) conjugation of the present indicative. Sure, this may be only used in Spain, but the people of E2 have a right to know!@# :)

for -ar verbs you add áis - jugáis (you all play)
for -er verbs you add éis - corréis (you all run)
for -ir verbs you add ís - descubrís (you all discover)

also, in your description of the different persons to conjugate, you made it seem as if there is no 3rd person, but only a 2nd person, formal (habla - you speak). Habla can also means he/she/it speaks. As much as that conjugation is used for 2nd person formal, it's no doubt used lots more for the 3rd person.

Update:

As for Damian's chart, I must say that it though might be useful for simple dabbling in Spanish, no matter what chart or method you use, the only way to get verb conjugations down is by practice, any form of it, and as much as you can get. When you're having a conversation, each time you have to use a verb, you can't think of a chart in your head. It has to be fluid. There should be no extra thought involved as far as converting a verb from infinitive to conjugated form.