Taller than I / me ??
When making a comparison with "than" do we end with a subject form or object form, "taller than I/she" or "taller than me/her." The correct response is "taller than I/she." We are looking for the subject form: "He is taller than I am/she is tall." (Except we leave out the verb in the second clause, "am" or "is.")
Some good writers, however, will argue that the word "than" should be allowed to function as a preposition. If we can say "He is tall like me/her," then (if "than" could be prepositional like like) we should be able to say, "He is taller than me/her." It's an interesting argument, but — for now, anyway — in formal, academic prose, use the subject form in such comparisons.
We also want to be careful in a sentence such as "I like him better than she/her." The "she" would mean that you like this person better than she likes him; the "her" would mean that you like this male person better than you like that female person. (To avoid ambiguity and the slippery use of than, we could write "I like him better than she does" or "I like him better than I like her.")