OK... you don't play a lot of video games, because you don't have a lot of time and when you play you remember that you are not a very good player... Well, you need to accept that so you may just be a casual gamer,to help you here are some games that you can enjoy even if you are not very good gamer.
Mobile Games
Mobile games are easy (most of then),you can play anywhere and can be RELLY addictive. There are soooo many mobile games that you are doomed to find one that you will want to play every time you have nothing to do and only have your cellphone. You can find ALL the styles of games, from music games to FPS,from puzzle to fighting games.
Some mobile games(and the style) that I enjoy playing : Jatpack Joyride (endless runer), Piano Tiles 2(piano music... of curse), Fruit Ninja (fruit slasher?),trivia crack kingdoms(quiz game), 2048 (puzzle),Trials Frontier (side scroling bike race),Minion Rush (endless runer... with minios *-*).Adventure Xpress(game like candy crush mix with a turn base batle).
Fallout Shelter... I fell that I have to say more abot this game that just his style. Fallout Shelter is a manager game, and you have to manege a undergrond facility for survivors of a nuclear war, you have to put peaple to work, so you can produce energy, water and food. Yopu need to find who is better in what kind of work,level then up and help they "repopulate" the word ( ͡° ͜ʖ ͡°). Normally I dont like this kind of game, but this one jus have something SPECIAL, and do not have all the PAY or WAIT that a lot of games of this style have
Party Games
Party Games are games that you are supose to play with a group of friends, it is most likely you CAN play alone, but the best way is to play in a party, or when you have some friends over to your house.The best part of this types of games is: in the end nobody loses (if you play right), because even if you play a competitive party game this type of games are focus on FUN, so you can "turn"any type of game into a party game with you have good friends to play.
Party Games that I like: Mario party (the "party" is in the name), kinect sporst/wii sport(sport games that you play with motion sensors),dance central (for the more "hardcore" dancer).
Just Dance <<<<<< This is the best party game (for me),it is a dance game (if did not notice), it is easy to play, even if you don't now how to dance, just because it is focus on the FUN of dancing, even if you make less points than your friends you can still be a winer if you have FUN (BUT... if you win you have to make sure to make fun of every one,because you are better)