Most of us tend to associate games with boys and men. Although there are many games for girls, there is always a tendency for these to not attract as much attention as those for boys. This could be as a result of the fact that girls' play is often soft, with limited motion and may not be as obvious and loud as boys. This same thing is seen with sports. Sports that are played by men and by extension boys, tend to attract much more viewership that those played by women. Although many will jump to blame male stereotypes for this, this may not necessarily be the case.
The reason for this difference in appreciation of games for the two sexes originates from a failure to appreciate certain things about games for girls and women. While most parents will readily realize that their son needs a ball, car, bus, and other boyish toys to play with, for girls this can be limited to buying simple dolls. Most computer games are designed to suit the needs of boys than girls. They are either about racing or other manly sports. These things are great for boys but do not in any way meet the needs of girls.
Typically, girls will play games that revolve around things that happen in the home or fashion. Some girls will also enjoy games that involve dancing as well as some adventure. Games that focus on the home include games on cookery, setting up tables, housekeeping and so on. As you can see, these games go beyond just a single doll. Girls will appreciate a kitchen set, or items that allow them to arrange a house and decorate it as they enjoy using their hands.
A girl will enjoy a cooking game which explains why they tend to try to imitate their mums in the kitchen and keep trying to cook something. On the contrary, most (though not all) boys will only enter the kitchen because they are hungry. For them the idea of a game will be different. If you want to enhance games for girls, meet their needs on their terms. You can find many good games for them online that will include cooking, dress-making, decorating, fashion, dancing and so on. These games also are played in a manner that meets another need of the girls-that of interaction and intimacy. Girls want closeness and one-on-one talk as they play. Next time they play, watch them as see how this comes out.
While boys' play often has intense competition, girls value relationships and enjoy games in which they cooperate rather than compete. The cooperating is still in line with the intimacy and relationship need mentioned earlier. Games for girls when well understood can just be as engaging as those of boys. So, get to understand your daughter very well so that you may select a game that they will appreciate. Remember also the differences even among children of the same sex. So, just because a game was good for one girl does not mean the other will like it.