I love my Android Phone and IMHO one of the best thing is the Synchronisation stuff with my Google Account. I have now my phonebook synced as well as my calendar. So I can use it on my PC at home, on work and on my phone. But I agree that checking mails on phones sucks. It is handy in some situations and I use it there, but I don't check them regularly.
For playing games: I prefer those games designed for mobile phones. The emulators and stuff work very well, but I can't get used to the controls. There are no buttons and sticks, you only touch your phone.. the feedback is missing there.
Games I like to play are AirAttack HD, Angry Birds, Bistro Cook, Blast Monkeys, Loosen Wire, Mahjong, Meganoid, Pong Multitouch, Time Chaos. I recently tried ScummVM which I thought could be cool on the phone, but that sucks..
The controls are not that good as I thought.
Some other good Apps are:
Jorte as Calendar App. It has nice Widgets
World Newspapers as News Reader. There you find lots of Newspapers from all around the world
Welches Netz? - It's a german app where you can see which provider the person you call uses. That is very handy as I have only flatrates to some providers and free minutes to the other. Maybe there is something similar for the dutch phone network, if you need something like that
3G Watchdog - counts how many MB of 3G traffic i used. That's handy if you have only a certain amount of MB for free.
TV-Guide - the TV Program. I think this is also only good for german TV
Titanium Backup - You need root privileges for that, but it's the most sophisticated backup tool I know.
Dolphin HD - A very nice browser
Note Everything - easily create and manage notes
miCoach - from adidas, very useful if you do a lot of running. Tells you the time and distance you have run, as well as the route using google maps, and so on
Lookout - Checks every app if it is safe and let's you look and locate your phone if it's lost
K9-Mail - EMail Reader (if necessary)
Google Skymap - You can see where which star is
FX Camera - Nice picture effects
EBay - very good app, works extremely well
So that was my little list. Hope you find something useful on it