Corrections in red.  Stylistics and comments in blue.

Grammar

1)I wish I could have a season ticket to the Philharmonic next winter.  I hope to have a season ticket to the Philharmonic next winter.  [1]
2) I wish I had consulted the teacher when I first felt that mathematics was too difficult for me.
3) I love sunny weather. I wish it had been warm and fine all the year round.
4) I wish I hadn`t lent Nick my watch.  He broke it. 
5) I wish you would send word as soon as you arrive.  I hope you will send word as soon as you arrive. [1]
6) I wish I didn't have to do my homework every day.
7) I wish you had gone skiing with me yesterday. I had such a good time!
8) I wish I knew Spanish.
9) I wish I hadn`t drunk so much coffee in the evening. I couldn't sleep half the night.
10) I wish you would read more in the future.  I hope you will read more in the future.  [1]
11) I wish I had never suggested this idea.
12) I wish I had been at yesterday`s party. It must have been very merry.
13) I hope we meet again next summer.   I wish we could meet again next summer.
14) Don`t you wish you had seen that performance before?
15) They wished they hadn`t seen this horrible scene again.
16) The unfortunate pupil wished he had not forgotten to learn the rule.

[1]  I have made some corrections you probably didn't expect.  This is because you often used the verb "wish", when it seems better to me to use the verb "hope."  Generally, if you desire that things were different from the way they actually are, you use "wish".  Example:  "I don't speak Russian very well.  I wish I could speak it well."  But if what you desire could possibly happen in the future, then you use "hope."   Example:  "I'm going to study Russian very hard and in two years, I hope to speak it very well."

For example, look at sentence 13.  "I hope we meet again next summer" connotes [means] that there is a fairly good chance we can meet again."  "I wish we could meet again" connotes that it is unlikely that we will be able to meet again.