Op amp follower not actually following in LTspice simulation
The LT1357 datasheet indicates that it is not a rail-to-rail op amp at either the input or the output (this is the case for most op amps, which is why you saw similar results with other op amps you simulated). It requires several volts difference between the rails (power supply voltages) at both the input and output:





However, you are using a single supply so you are expecting its input and output to be 1V above the lower supply voltage (ground, in this case).

Possible solutions:


Use a negative supply. For example, you could use a -10V supply to balance the +10V supply, or you can use a -5V supply to give the op amp just enough extra headroom on the negative side.
Find an op amp that can accept inputs and swing to within 1V of its negative supply. The key specs to look for are "input voltage range", "input common mode range", "output swing", or similar. Look for op amps marketed as "single supply" and/or "rail-to-rail".