Examples and impossibilities relating homotopy, retracts, and low homology groups

For connected spaces \(X,Y\), give an example satisfying each statement below or state that no example exists:

1. \(X\simeq Y\) but \(X\not\cong Y\).
2. \(X\simeq Y\), but neither is a deformation retract of the other.
3. \(X\) is a deformation retract of \(Y\), but \(X\not\simeq Y\).
4. \(X\simeq Y\) but \(\pi_1(X)\not\cong\pi_1(Y)\).
5. \(\pi_1(X)\cong\pi_1(Y)\) but \(X\not\simeq Y\).
6. \(X\) is a retract of \(Y\), but not a deformation retract of \(Y\).
7. \(X\) is a deformation retract of \(Y\), but not a retract of \(Y\).
8. \(X\) is a deformation retract of \(Y\), but \(\pi_1(X)\not\cong\pi_1(Y)\).
9. \(H_1(X)\cong H_1(Y)\) but \(\pi_1(X)\not\cong\pi_1(Y)\).
10. \(\pi_1(X)\cong\pi_1(Y)\) but \(H_1(X)\not\cong H_1(Y)\).
11. \(H_2(X)\cong H_2(Y)\) but \(\pi_1(X)\not\cong\pi_1(Y)\).
12. \(\pi_1(X)\cong\pi_1(Y)\) but \(H_2(X)\not\cong H_2(Y)\).