buy WII+Glock bundle - if she won't be hooked up with the wii and still will want to break up your brother can always use the second part of the bundle ;)
but seriously if he can he should get her DS - if she will still object she's a lost cause. if your brother have 360 he should get Viva Pinata, Banjo or some other less-gore game for her or play with her on co-op.
------------------------------------
wait she want's him to quit games because she thinks it enables him to procrastinate? is he a big fan of games? i'm not talking bout spending a lot of time with them, but if he buys a lot of them and is he a casual gamer(ie. doesn't care bout games and he could either read a book/watch tv cause it doesn't matter) or a gamer(is hooked up to them and likes certain genre/series etc.)? if yes than either:
- she is at the point she wants your brother to break up with hercause she don't want to do this herself so she is looking for the most ridiculous ways to make your brother do this for her(very pesimistic thought, but it happens when girl found another guy and want to do this because it's more convenient to her in some weird way),
- she may be concerned about somethin,
- dunno what else.
either way i suggest a serious talk(well maybe not so serious) with her:
- why she think games enables him to procrastinate?
- why she don't like games?
- ask her if it would be ok if she would like to play games with each other as an another activity when she is at his place just like watching movies or somethin,
- depending on what console he have i recommend buying few different casual games and also if she/your brother still have ds buy her games bout her hobby(if she likes animals get her Nintendogs etc.) or any other game. adventure games would be nice - well anything that uses touchscreen is good like Mario Party, Layton, Trauma Center, Phoenix Wright, Another Code, Zelda, Kirby, Animal Crossing, Rhythm Heaven(most adventure and puzzle games should do the trick with many girls).