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Then let's compare the two. Here are Obama's emergencies:

Declaration of a National Emergency With Respect to the 2009 H1N1 Influenza Pandemic (Proclamation 8443)[80] – empowered the secretary of Health and Human Services to issue waivers allowing overcrowded hospitals to move swine flu patients to satellite facilities or other hospitals.[82]
Blocking Property of Certain Persons Contributing to the Conflict in Somalia (Executive Order 13536)[83] – intended to help combat Somali pirates.[4]
Blocking Property and Prohibiting Certain Transactions Related to Libya (Executive Order 13566)[84] – imposed sanctions on Muammar Gaddafi, his family, and Libyan officials after protestors were killed by government forces, including freezing assets and consideration of prosecution for war crimes.[85]
Blocking Property of Transnational Criminal Organizations (Executive Order 13581)[86] – levied sanctions against four criminal organizations—Los Zetas, the Brothers' Circle, the Yakuza, and the Camorra—including freezing assets, barring ownership of American real estate, and implementing travel bans.[87]
Blocking Property of Persons Threatening the Peace, Security, or Stability of Yemen (Executive Order 13611)[88] – intended to counter unrest in Yemen in the aftermath of the Yemeni Revolution.[4]
Blocking Property of the Government of the Russian Federation Relating to the Disposition of Highly Enriched Uranium Extracted From Nuclear Weapons (Executive Order 13617)[89] – imposed sanctions on Russia over the disposal of highly enriched uranium.
Blocking Property of Certain Persons Contributing to the Situation in Ukraine (Executive Order 13660)[91] – imposed sanctions, including restricting visas, in concert with the European Union and the international community against Russia after its Annexation of Crimea by the Russian Federation.[92][93] Amended on March 16, 2014 (Executive Order 13661),[94] March 20, 2014 (Executive Order 13662),[95] and December 19, 2014 (Executive Order 13685)[96] to expand the scope of sanctions.
Blocking Property of Certain Persons With Respect to South Sudan (Executive Order 13664)[97] – enabled economic sanctions to be placed due to the civil war in South Sudan; sanctions were first imposed a month later.[98]
Blocking Property of Certain Persons Contributing to the Conflict in the Central African Republic (Executive Order 13667)[99] – imposed sanctions against former Central African Republic president François Bozizé, following similar sanctions placed on Bozizé by the United Nations Security Council the previous week;[100] also contains provisions against the use of child soldiers.[29]
Blocking Property and Suspending Entry of Certain Persons Contributing to the Situation in Venezuela (Executive Order 13692)[101] – imposed sanctions on seven high-ranking Venezuelan government officials, including SEBIN director Gustavo Enrique González López, PNB director Manuel Perez, and CVG head Justo Noguero.[102][103]
Blocking the Property of Certain Persons Engaging in Significant Malicious Cyber-Enabled Activities (Executive Order 13694)[104] – intended to allow sanctions to be levied on foreign individuals determined by the Department of the Treasury to have engaged in cyber-crime or cyber-terrorism; was in the works for two years.[105]

And here is Trump:

Blocking Property of Certain Persons Contributing to the Situation in Burundi (Executive Order 13712)[106] – imposed sanctions on four Burundi nationals—minister of public security Alain Guillaume Bunyoni, National Police of Burundi deputy director-general Godefroid Bizimana, Godefroid Niyombare, and Cyrille Ndayirukiye—in the wake of widespread unrest.[107]
Blocking the Property of Persons Involved in Serious Human Rights Abuse or Corruption (Executive Order 13818)[108] – imposed sanctions due to the Rohingya conflict in Myanmar, specifically against general Maung Maung Soe;[109] works in tandem with the Global Magnitsky Human Rights Accountability Act.[29]
Imposing Certain Sanctions in the Event of Foreign Interference in a United States Election (Executive Order 13848)[110] – intended to enable automatic sanctions in response to election interference;[111][112] intelligence agencies are given 45 days after an election to assess any possible interference.[29]
Blocking Property of Certain Persons Contributing to the Situation in Nicaragua (Executive Order 13851)[113] – announces certain sanctions against current and former Daniel Ortega government officials engaging in human rights abuse or corruption.[114]
Declaring a National Emergency Concerning the Southern Border of the United States (Proclamation 9844)[115] – seeks to divert $8 billion of funds, which were previously allocated to other programs, to build a wall on the southern border of the United States, which the order calls a "major entry point for criminals, gang members, and illicit narcotics" into the United States.[116][117][118]

You may notice that all of those emergencies except for two, one Obama and one Trump, are related to sanctions against "bad guys." Obama's emergency declaration dealt with one of the worst outbreaks of the flu we've had in decades and allowed for waivers to be issued until the already introduced law allowing them completed its journey through Congress. Trump's is an emergency declaration that allows a one-time diversion of funds that the Congress explicitly denied. Those two are totally different beasts.