Here, I'll start. The game between Sebleb and iAMaSOFTWAREengineer is a great illustration. 110 moves, can't miss it!
when to resign a game/accept a drawn game

Actually there are mostly different opinions about when a game is lost or not lost. Tirangkanto, also you didn´t resign when I still had a castle and 2 pawns but you only 1 castle. You were little bit higher rated than me and so you thought you have to win. But you lost.Just accept if other players have different opinions. It´s not a bad attitude.
so many players when losing a game dont know how to resign. or a highly rated player when drawn game dont accept it. players losing a game just let leave a losing game and let their time end. and sometimes in a blitz game they just disconnect. . this is very unsportsman like attitude of suppose to be a gentlemans game. iam still a teen and here in this website, the nos. 1 chess site. i notice lots of player around the world with this attitude. is it hard to accept defeat in a chess game. thank you and more power to all of us. lets enjoy chess games
If my opponent has a 1 in front of their rating make them play to mate. They might stalemate you. In this brilliantly played gem my opponent stalemated me with a rook, bishop, and two pawns versus my lone king. I call it a gem because it shines as a reminder to never give up when you're playing other patzers.
1. c4 g6 2. Nc3 Bg7 3. e4 d6 4. d4 c5 5. Nge2 Nc6 6. Be3 cxd4 7. Nxd4 Nf6 8. f3 O-O 9. Be2 a6 10. O-O Qc7 11. Rc1 Bd7 12. Qd2 Nxd4 13. Bxd4 Rac8 14. Rfd1 Rfd8 15. Nd5 Nxd5 16. Bxg7 Kxg7 17. exd5 Qc5+ 18. Kh1 h5 19. b3 h4 20. Qg5 Qf2 21. Bd3 h3 22. Rc2 hxg2+ 23. Qxg2 Qxg2+ 24. Kxg2 Rh8 25. Re1 e6 26. dxe6 Bxe6 27. Be4 b6 28. Rd1 Rc5 29. Rcd2 Rch5 30. Kg1 Rg5+ 31. Rg2 Rxg2+ 32. Kxg2 Bh3+ 33. Kg3 Be6 34. Rxd6 Rb8 35. Bd5 Bf5 36. Rc6 Bb1 37. a3 Ba2 38. b4 a5 39. Rc7 Rf8 40. bxa5 bxa5 41. Rc5 a4 42. Ra5 Re8 43. Rxa4 Re2 44. Ra7 Bb1 45. Rxf7+ Kh6 46. a4 Ra2 47. Ra7 Ra3 48. a5 Bf5 49. a6 Kh5 50. Ra8 Rb3 51. Rh8+ Kg5 52. a7 Ra3 53. a8=Q Rxa8 54. Rxa8 Bd3 55. c5 Bb5 56. c6 Bxc6 57. Bxc6 Kh5 58. Be4 Kg5 59. Ra6 Kh5 60. Rxg6 1/2-1/2

When to resign is a player's sole option. There is no rule of etiquette for amateurs.
When will a higher-rated player agree to a draw in a "drawn position?" Depends on the position! There are plenty of drawn positions where one mistake can cost the game, and in many endings the right moves are not so easy to find OTB if you aren't familiar with them.
I've had an IM (who played in several US Championships) resign a drawn pawn ending against me, and a Life Master resign a drawn R+P ending to me. Had I offered a draw to either on the prior move, he would have grabbed it.
Maybe for the sake of the argument we should clarify the meaning of 'drawn position'. A drawn position does not mean a Houdini eval of 0.00, that is an equal position. Equal positions can have many (practical) chances and opportunities to play for a win, so indeed what you say: depends on the position! In the spectrum of drawn positions there too exists a lot of variety. K vs. K is of course drawn. With more material (pawns and maybe a piece) on the bord, the position can be theoretically drawn with best play, but it may indeed be difficul to find.
I find it annoying when people play on in positions which are clearly and obviously drawn. White Kg1, Black pawn g4, Kg3 black to move and a draw offer from white, black plays on. In consider my opponents strong enough to know that this is drawn and strong enough to know that I know how to draw. On the other hand, when there is still something to play for, of course you play on.
Resigning is the same thing and I will give a practical example: bishop + knight + king versus king king. In my county, it is perfectly viable to play on in this position when your opponent is rated below 2000 as chances are that he just doesn't know how to lead this to mate and finding it OTB is difficult. Playing on with rook + king versus king on the other hand is just silly

If my opponent has a 1 in front of their rating make them play to mate. They might stalemate you. In this brilliantly played gem my opponent stalemated me with a rook, bishop, and two pawns versus my lone king. I call it a gem because it shines as a reminder to never give up when you're playing other patzers.
There is some wisdom there for sure! I played poorly in a 10 min. blitz game and on move 22, my opponent had checkmate in the bag. I was about to click on the resign button, but with mate looming in about 2 moves, I changed my mind and thought I should let him finish it off. His 23rd move blew me out of the water. Either he didn't see it or wanted to take my pieces off the board first. Given our ratings, I am inclined to think he didn't see it.
I managed to turn it around but I sure felt like I got away with highway robbery.
Actually there are mostly different opinions about when a game is lost or not lost. Tirangkanto, also you didn´t resign when I still had a castle and 2 pawns but you only 1 castle. You were little bit higher rated than me and so you thought you have to win. But you lost.Just accept if other players have different opinions. It´s not a bad attitude.
OP was in a hopeless position, he doesn't resign. Contradicts his own statement.
/thread

I find it annoying when people play on in positions which are clearly and obviously drawn. White Kg1, Black pawn g4, Kg3 black to move and a draw offer from white, black plays on. In consider my opponents strong enough to know that this is drawn and strong enough to know that I know how to draw. On the other hand, when there is still something to play for, of course you play on.
Your example of a clearly and obviously drawn position is a forced win for black. 1. ... Kh3 2. Kh1 g3 3. Kg1 g2 4. Kf2 Kh2 and black queens the pawn on his next move. This is the first reason why I always play it out, even players at your level can make these types of basic endgame mistakes. The other reason is that if both sides know the moves then it shouldn't take more than a minute to play it out.

I find it annoying when people play on in positions which are clearly and obviously drawn. White Kg1, Black pawn g4, Kg3 black to move and a draw offer from white, black plays on. In consider my opponents strong enough to know that this is drawn and strong enough to know that I know how to draw. On the other hand, when there is still something to play for, of course you play on.
Your example of a clearly and obviously drawn position is a forced win for black. 1. ... Kh3 2. Kh1 g3 3. Kg1 g2 4. Kf2 Kh2 and black queens the pawn on his next move. This is the first reason why I always play it out, even players at your level can make these types of basic endgame mistakes. The other reason is that if both sides know the moves then it shouldn't take more than a minute to play it out.
My bad, should obviously never have tried to do that without thinking properly and trying to post quickly in the morning before work... You clearly point out me failing to correctly give an argument to the point I am trying to prove... In that position however I would resign, and not play on untill mate hoping for a blunder.

I do not have any problems if a player does not want to resign. Sometimes they are completely lost and they go on because you might run out of time. That pisses me off, but well you have less time because you used it, so if you lose on time... it is not your opponent's fault.
The only case when I like to show off even more than my rival is when he/she does not want to resing with a bare king and it is clear that he is gonna get mated (not stalemated). In those cases, I take my time, even "bishop" a couple more of pawns, and mate him in the corner.

so many players when losing a game dont know how to resign. or a highly rated player when drawn game dont accept it. players losing a game just let leave a losing game and let their time end. and sometimes in a blitz game they just disconnect. . this is very unsportsman like attitude of suppose to be a gentlemans game. iam still a teen and here in this website, the nos. 1 chess site. i notice lots of player around the world with this attitude. is it hard to accept defeat in a chess game. thank you and more power to all of us. lets enjoy chess games
He said "unsportsman"!!! but he plays the white side and dont give a rematch, it´s also classified like UNSPORTMAN!!! or simply COWISH!!!
so many players when losing a game dont know how to resign. or a highly rated player when drawn game dont accept it. players losing a game just let leave a losing game and let their time end. and sometimes in a blitz game they just disconnect. . this is very unsportsman like attitude of suppose to be a gentlemans game. iam still a teen and here in this website, the nos. 1 chess site. i notice lots of player around the world with this attitude. is it hard to accept defeat in a chess game. thank you and more power to all of us. lets enjoy chess games