PCPartPicker part list:
https://de.pcpartpicker.com/list/B7XPnH
Price breakdown by merchant: https://de.pcpartpicker.com/list/B7XPnH/by_merchant/
CPU: AMD - Ryzen 7 1700 3GHz 8-Core Processor (€245.60 @ Mindfactory)
Motherboard: Asus - PRIME X370-A ATX AM4 Motherboard (€99.99 @ Amazon Deutschland)
Memory: G.Skill - Trident Z 16GB (2 x 8GB) DDR4-3000 Memory (€152.74 @ Amazon Deutschland)
Storage: SanDisk - SSD PLUS 240GB 2.5" Solid State Drive (€69.99 @ Amazon Deutschland)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive (€42.16 @ Amazon Deutschland)
Video Card: Gigabyte - GeForce GTX 1080 8GB WINDFORCE OC 8G Video Card (€609.00 @ Caseking)
Case: NZXT - S340 (White) ATX Mid Tower Case (€69.90 @ Caseking)
Power Supply: SeaSonic - FOCUS Plus Gold 650W 80+ Gold Certified Fully-Modular ATX Power Supply (€86.91 @ Amazon Deutschland)
Total: €1376.29
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-04-10 17:27 CEST+0200
Ryzen's cores will help you stream and game and the 1080 will keep it relevant for quite some time. However, this is from Germany but includes Shipping.
Do you have local sites we may be able to choose from?