Transactional annotation on whole class + excluding a single method

There are different transaction propagation strategies to use. These exist in the enum Propagation. The ones you might want to use are

/**
 * Execute non-transactionally, suspend the current transaction if one exists.
 * Analogous to EJB transaction attribute of the same name.
 * <p>Note: Actual transaction suspension will not work on out-of-the-box
 * on all transaction managers. This in particular applies to JtaTransactionManager,
 * which requires the {@code javax.transaction.TransactionManager} to be
 * made available it to it (which is server-specific in standard J2EE).
 * @see org.springframework.transaction.jta.JtaTransactionManager#setTransactionManager
 */
NOT_SUPPORTED(TransactionDefinition.PROPAGATION_NOT_SUPPORTED),

/**
 * Execute non-transactionally, throw an exception if a transaction exists.
 * Analogous to EJB transaction attribute of the same name.
 */
NEVER(TransactionDefinition.PROPAGATION_NEVER), // maybe not this one

So annotate the method inside your class with either of these.

@Transactional
public class MyTransactionalClass { 
    @Transactional(propagation = Propagation.NOT_SUPPORTED)
    public void nonTransactionalMethod() {...}
}

You can find all the propagation strategies here.