Yes, there is such a thing as a better Sun, Moon, or Ascendant sign in astrology, and they do impact your personality, looks, and success.

Basically, the Sun works best in a fire sign simply because the Sun is a fire planet. The Sun rules Leo which means the Sun in Leo is the best or strongest Sun sign placement to have. The Sun is also excellent to have in Aries, its exaltation placement, and finally in Sagittarius, which is also a fire sign. The Sun also does well in the air signs which are also masculine, but less so than the fire signs. The Sun does not do well in earth or water.

The Moon works best in the water signs because the Moon is a water planet, or at least that's what the mainstream astrological consensus is. Personally, I find the Moon to be stronger or more successful in an Earth sign, but that is my personal observation and opinion. Moon in Capricorn is very strong and great for business people to have. Moon in Taurus (exaltaion) also, and finally Moon in Virgo. Moon in water (Cancer, Scorpio, or Pisces) are also good placements (especially domestic) being caring, protective, and nurturing. The Moon does not do well in fire or air.

I find the Rising sign or Ascendant to work best in the air signs giving good looks, sociability, and intelligence. Libra is particularily attractive, followed by Aquarius and Gemini. The fire signs are also attractive to have as an Ascendant, giving courage, vitality, sparkle, and drive. Leo and Sag are particularly attractive followed by Aries. The Rising sign or Ascendant does not do so well in earth or water.

Now for the combinations of these three factors. I have observed that the best formula for Sun, Moon, and Ascendant, in that order, is +-+ (positive-negative-positive) or masculine/feminine/masculine. +masculine means fire or air and -feminine means earth or water. Basically, the Sun must be in a positive or masculine sign (fire or air), the Moon must be in a negative or feminine sign (earth or water), and the Ascendant must be in a positive or masculine sign (air or fire). An example: Sun in Aries, Moon in Taurus, and Aquarius rising. All of these 216 combinations are very desirable to have.

Narrowing it down, the Sun is best in a fire sign, the Moon in an Earth sign, and the Ascendant in an air sign. Example: Sun in Leo, Moon in Virgo, and Libra rising. These 27 possible combinations are excellent for looks, magnetism, and business success. I will not go further than this because it will raise too many issues which have yet to be resolved, like planetary rulership. There is no question about the Sun ruling Leo, but the other two are contentious, especially the Rising sign which stands for Terra and which has no current rulership and which is often gotten wrong due to faulty or unreliable birth data.

Of course, Sun, Moon, and Ascendant aren't the only three factors to consider when determining social or business success but they are crucial. The other planets will add to or subtract from this. So if you want to gauge a person for best looks, integrity, or business success start with these three factors. The Moon is crucial for business acumen, the Rising sign for looks and overall health, and the Sun for heart and integrity.

In summary, most successful businessmen, craftsmen, and politicians as well as domestics have feminine moons, and most beautiful models, actors, entertainers, and people in general have masculine rising signs, and the best of both of these groups have a masculine Sun. Whether you agree with them or not, these are the inescapable conclusions of my observations.