Arsenal vs. Swansea City
Emirates Stadium; Tuesday, 19:45 GMT/3:45 PM ET
Whatever remaining title hopes Arsenal more than likely died on Saturday. Now all that remains is to save face, limit the damage, and secure Champions League qualification. There's really no great outcome for the Gunners -- a loss would clearly be a disaster, but even an emphatic win isn't going to completely erase what happened last weekend. From Swansea's perspective, the hope must be that Arsenal are still reeling, because they could really do with a result. The Swans are just two points above the relegation zone, and when it's taken into account that 18th-placed Sunderland have two games in hand, their Premier League status seems even less secure.
Manchester United vs. Manchester City
Old Trafford; Tuesday, 19:45 GMT/3:45 PM ET
Manchester City's title hopes are still very much alive, and a win over their cross-town rivals would arguably make them the league favorites. There's nothing so important at stake for United, which marks for a fairly stark change from this game's historical balance of power. Only bragging rights are at stake for the Red Devils, and while that's certainly important, United are used to playing for more. This game has been covered in depth elsewhere, but it's a nice reminder that even in the upper echelons of the Premier League, things can change very quickly.
St. James' Park; Tuesday, 19:45 GMT/3:45 PM ET
Both Newcastle and Everton come into this game with something still to play for, but the attractiveness of a Europa League spot is up for debate. More realistically, the real prize is in building momentum for next season. Both sides have outperformed expectations to some degree, but they each likely have more ambitious goals in mind for next season. How they finish is going to impact perceptions, and those perceptions can be quite valuable when it comes to recruiting the kinds of players that can help to put them over the top.
The Boleyn Ground; Wednesday, 19:45 GMT/3:45 PM ET
Both Hull and West Ham are in the not-quite-safe-but-right-on-the-edge-just-one-more-win-should-do-it zone, which is a pretty annoying place to be. The teams in that part of the table aren't very good, so though they spend a good portion of the stretch run feeling reasonably confident of a return to the Premier League, it can take a while to rack up enough points to erase all doubt. A win for either side would be a huge step towards reaching that point, but let's be honest, there's almost no way this game ends up as anything other than a low-scoring draw.
Liverpool vs. Sunderland
Anfield; Wednesday, 20:00 GMT/4:00 PM ET
All four teams in the top four are plausibly in the title race, but at the moment it certainly feels as though Chelsea and Manchester City are the favorites. Liverpool's not far behind though, and if they hope to keep it that way they'll have to take all three points here. Sunderland still have a decent shot at escaping the drop, but they're a very bad team. After the statement Chelsea made last weekend, Liverpool could probably do with a squash match of their own.