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for 'singular thing':
1. I wouldn't want this/that.
2. I wouldn't want anything like this/that.
for 'a specific thing':
3. I wouldn't want this/that house.
4. I wouldn't want a house like this/that.

for 'plural things':
5. I wouldn't want these/those.
6. I wouldn't want anything like these/those.
for 'specific things':
7. I wouldn't want these/those ties.
8. I wouldn't want ties like these/those.
9. I wouldn't want ties like this/that.

Which of the above examples are grammatically considered correct, considering you're speaking for your own opinion of disliking something or some things.

Thank you very much.
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They are all correct. Whether you use this/these or that/those depends on your proximity to the object(s) in question. If you are close use this/these not so close use that/those. What is close? Good question. See this site for guidance (I'm sure there are many similar sites):
http://www.edufind.com/english/grammar/Determiners5.cfm
Comments  
Wow, that means even #9 is correct?
If so, in what situation?