Hi,
For web browser strategy games I would recommend playdominion.com: a perfect HTML 5 (so no need for your browser to support Java/Flash etc) cross platform implementation (so you could play it on your PC/laptop browser while a friend played it with you on their tablet/smartphone) of the popular Dominion card game. Its fun for 2 - 4 players and I have yet to introduce it to someone who hasn't enjoyed playing it. Its the only browser game I've been playing recently with my friends & relatives. The base game which has enough cards, is free so why not try it in your browser. It can also be played singleplayer vs bots and bots can be used in multiplayer games.
Other free browser games with online multiplayer support I can recommend are:
*
www.stratego.com
*
www.catanuniverse.com/en (HTML 5)
* www.miniclip.com's 8 ball pool game (requires flash)
Steam PC games I'm playing:
* Company Of Heroes - the classic RTS game, if you like RTS games and have never played a COH game then you've been missing out. I own the sequel but I personally prefer the first game.
* The Ship: Possibly my most played FPS game, the remastered sequel is currently available as an Alpha release. Players are passengers on cruise ships who have been tasked by Mr X with murdering other passengers while having to survive being hunted themselves. So in the main mode: hunt mode, each player is assigned one player to murder in each round and there are many weapons for them to find by taking them from cabinets, cabin wardrobes etc. There's only 4 guns so the vast majority of weapons are melee weapons of varying attack strength. The money for kills value of each weapon is randomised in each game and when a player has used a weapon its value drops to the minimum value. So gameplay is randomised in this way and players usually have to murder their quarry with melee weapons instead of just shooting them. Players are fined for killing innocent players who aren't their quarry/hunter and they can be arrested for being seen with a weapon out by too many players or by cameras and stationary guards who can be bribed to ignore crimes. Plus players have needs like sleep, hygiene and entertainment so players will be vulnerable when they have to make their character use a shower for example.
* Rocket League: Players use acrobatic rocket cars to move a giant ball around a soccer pitch and shoot it into their opponents goal. A very popular multiplayer game and great fun to play with friends, with 4 v 4 matches being the maximum number of players. But 1 v 1, 2 v 1, 2 v 2 and 3 V 3 matches with friends are fun as well and bots can be used in the multiplayer mode.
* Worms Armageddon: My favourite Worms game.
Some free PC games I can recommend:
* Battlezone 1 (
http://www.battlezone1.com/) : combines RTS base building with FPS combat.
* Renegade X : Remake of C&C Renegade with good modern graphics.
* 7 Kingdoms remake (7kfans.com).
* Hedgewars: A good free Worms Armageddon clone.
* OpenTTD : Remake of transport tycoon deluxe.
* OpenRA : Remake of C&C 1, C&C Red Alert, C&C Tiberian, C&C Red Alert 2 (In development).
* Widelands : Remake of The Settlers 2.
* Planet Side 2.
The game I'm most looking forward to being released is Android/IOS game for the "Through The Ages: A New Story Of Civilisation" board game, my favourite board game. It will support online multiplayer gaming and saving multiplayer games. Being a card game the Android/IOS game will just have 2D graphics so hopefully this game should work fine on a PC with an Android/IOS emulator like Bluestacks.