Better way is:

Date date = ...;
Instant.ofEpochMilli(date.getTime()).atZone(ZoneId.systemDefault()).toLocalDate()

Advantages of this version:

• works regardless the input is an instance of java.util.Date or it's a subclass of java.sql.Date (unlike @JodaStephen's way). This is common with JDBC-originated data. java.sql.Date.toInstant() always throws an exception.

• it's the same for JDK8 and JDK7 with JSR-310 backport

I personally use an utility class (but it is not backport-compatible):

/**
 * Utilities for conversion between the old and new JDK date types 
 * (between {@code java.util.Date} and {@code java.time.*}).
 * 
 * <p>
 * All methods are null-safe.
 */
public class DateConvertUtils {

    /**
     * Calls {@link #asLocalDate(Date, ZoneId)} with the system default time zone.
     */
    public static LocalDate asLocalDate(java.util.Date date) {
        return asLocalDate(date, ZoneId.systemDefault());
    }

    /**
     * Creates {@link LocalDate} from {@code java.util.Date} or it's subclasses. Null-safe.
     */
    public static LocalDate asLocalDate(java.util.Date date, ZoneId zone) {
        if (date == null)
            return null;

        if (date instanceof java.sql.Date)
            return ((java.sql.Date) date).toLocalDate();
        else
            return Instant.ofEpochMilli(date.getTime()).atZone(zone).toLocalDate();
    }

    /**
     * Calls {@link #asLocalDateTime(Date, ZoneId)} with the system default time zone.
     */
    public static LocalDateTime asLocalDateTime(java.util.Date date) {
        return asLocalDateTime(date, ZoneId.systemDefault());
    }

    /**
     * Creates {@link LocalDateTime} from {@code java.util.Date} or it's subclasses. Null-safe.
     */
    public static LocalDateTime asLocalDateTime(java.util.Date date, ZoneId zone) {
        if (date == null)
            return null;

        if (date instanceof java.sql.Timestamp)
            return ((java.sql.Timestamp) date).toLocalDateTime();
        else
            return Instant.ofEpochMilli(date.getTime()).atZone(zone).toLocalDateTime();
    }

    /**
     * Calls {@link #asUtilDate(Object, ZoneId)} with the system default time zone.
     */
    public static java.util.Date asUtilDate(Object date) {
        return asUtilDate(date, ZoneId.systemDefault());
    }

    /**
     * Creates a {@link java.util.Date} from various date objects. Is null-safe. Currently supports:<ul>
     * <li>{@link java.util.Date}
     * <li>{@link java.sql.Date}
     * <li>{@link java.sql.Timestamp}
     * <li>{@link java.time.LocalDate}
     * <li>{@link java.time.LocalDateTime}
     * <li>{@link java.time.ZonedDateTime}
     * <li>{@link java.time.Instant}
     * </ul>
     * 
     * @param zone Time zone, used only if the input object is LocalDate or LocalDateTime.
     * 
     * @return {@link java.util.Date} (exactly this class, not a subclass, such as java.sql.Date)
     */
    public static java.util.Date asUtilDate(Object date, ZoneId zone) {
        if (date == null)
            return null;

        if (date instanceof java.sql.Date || date instanceof java.sql.Timestamp)
            return new java.util.Date(((java.util.Date) date).getTime());
        if (date instanceof java.util.Date)
            return (java.util.Date) date;
        if (date instanceof LocalDate)
            return java.util.Date.from(((LocalDate) date).atStartOfDay(zone).toInstant());
        if (date instanceof LocalDateTime)
            return java.util.Date.from(((LocalDateTime) date).atZone(zone).toInstant());
        if (date instanceof ZonedDateTime)
            return java.util.Date.from(((ZonedDateTime) date).toInstant());
        if (date instanceof Instant)
            return java.util.Date.from((Instant) date);

        throw new UnsupportedOperationException("Don't know hot to convert " + date.getClass().getName() + " to java.util.Date");
    }

    /**
     * Creates an {@link Instant} from {@code java.util.Date} or it's subclasses. Null-safe.
     */
    public static Instant asInstant(Date date) {
        if (date == null)
            return null;
        else
            return Instant.ofEpochMilli(date.getTime());
    }

    /**
     * Calls {@link #asZonedDateTime(Date, ZoneId)} with the system default time zone.
     */
    public static ZonedDateTime asZonedDateTime(Date date) {
        return asZonedDateTime(date, ZoneId.systemDefault());
    }

    /**
     * Creates {@link ZonedDateTime} from {@code java.util.Date} or it's subclasses. Null-safe.
     */
    public static ZonedDateTime asZonedDateTime(Date date, ZoneId zone) {
        if (date == null)
            return null;
        else
            return asInstant(date).atZone(zone);
    }

}

The asLocalDate() method here is null-safe, uses toLocalDate(), if input is java.sql.Date (it may be overriden by the JDBC driver to avoid timezone problems or unnecessary calculations), otherwise uses the abovementioned method.