How can I simulate a 150MHz crystal oscillator in LTspice
The comments from the other posters are critical to getting any oscillator to simulate but I also question your choice of components.

The BC547 has rather a low FT for 150MHz oscillation. Its worst case is 150MHz with a typical of 300MHz - this is too low.

Your values for C3 and C4 seem much too large - I would expect values of ~22pF.

Lastly, although it may be a 150MHz crystal it is more likely to be a 30Mhz crystal intended to be operated at the 5th overtone - in order to achieve that it is common to include a tuned circuit in the oscillator to direct which overtone to operate at. The crystal will tend to operate at any odd overtone so the gain of the amplifier at frequencies other than the intended one need to be suppressed.



As the frequency of operation of a crystal is raised the physical thickness required becomes smaller. It is normally impractical to grind a crystal for operation above 30-50Mhz as they become too fragile. To sidestep this overtone operation is used.

Crysal Oscillator Fundamentals