Do Emiya Shirou and Arturia ever meet again after Fate/stay night? Do Emiya Shirou and Arturia ever meet again after Fate/stay night, 
spoiler next


   I'd like to know because it's pretty sad that she says that she loves him then dies.


Thanks!
Yes they do.

In the Visual Novel of Fate Stay/Night Realta Nua, once you have seen all five endings, a new ending appears accessible from the title screen called -Last Episode-. This is in two parts: a monologue of the Fate Route and a second part where Arturia is hearing from Merlin about a miracle achievable by two people, one who "wait endlessly" and one who "pursue endlessly", and eventually the pursuer will stop when they reach the waiter.

What Merlin is referring to is Arturia waiting and Shirou pursuing. Eventually Shirou reaches Avalon where Arturia is sleeping and the two finally reunite. It's not entirely certain how long it took Shirou to reach Avalon however, considering that Avalon transcends all magic including the 5 Magics it must have taken an eternity for Shirou to reach.

In Unlimited Blade Works, because Caster canceled the contract between Saber and Shirou, Rin is able to from a contract with Saber. In the Good Ending of Unlimited Blade Works, we see that Rin is able to maintain Saber's Prana Supply but complains she finds it hard supplying her with energy without something like the Holy Grail. You can see this has Shirou being able to stay with Saber. However in Unlimited Blade Works, Rin is Shirou's love interest so with the True Ending for Unlimited Blade Works where Saber does disappear at the destruction of the Grail, it can be assumed that Shirou loves Rin more and does not go to find Saber so -Last Episode- won't occur.

In Fate/Hollow Ataraxia, Arturia comes back thanks to Rin's and Ilya's experiment to make the Jewel Sword into a pendant to allow easier use of the 2nd Magic. This allows Fuyuki City to becomes a place where "any and all events are possible", so all the Servants are brought back including Saber. In Avanger's design to recreate the 3rd Holy Grail War, because in the 3rd war the Edelfelt Sisters used their Sorcery Trait to summon 2 Sabers, this is mimicked in this new war with Arturia having a second personality in the form of Saber-Alter which is her dark corrupted self from the Heaven's Feel Route of the visual Novel.

I should point out that Fate/Hollow Ataraxia occurs in a parallel timeline where at least the Fate and Heaven's Feel routes occurred at the same time as Sakura is shown wearing a sleeve reminiscent from when she had a contract with Avanger, Alter-Saber cannot exist unless she was corrupted in the Grail (Heaven's Feel), Ilya is alive and well (Fate), the Vessel of the Holy Grail was destroyed (Fate), and the Greater Grail is thought to still be operational just without any purpose for all the prana it has collected from two wars, so -Last Episode- may still occur after Fate/Hollow Ataraxia.