Acid-catalysed Reaction of Ketone with Benzene to Make Benzyl Alcohol
I haven’t ever seen a reaction directly like that. To generate the alcohol you drew on your piece of paper, I would probably use phenyl lithium or phenyl magnesium bromide and add that to acetone; it is easier and faster. (Note that the reaction would stop at the tertiary alcohol and not react further under elimination of water.)

Note that the reaction to synthesise DDT starts from trichloroacetaldehyde. The three chlorine atoms draw electron density away from the carbonyl group, further strengthening the cation. I would suppose that this is not seen often because of the activation a simple aldehyde would need. Let’s face it: benzene is a very bad nucleophile.